simplebooklet thumbnail




2556





 
 1
  1
 1
 
  2
  3
 3
 
 
  4
 

 5

 


 
 

 
  
 
 
 
 
 40
(Curriculum Mapping)
i

 
  1
 1
 1
 
 2
 2
 
 3
 3
 4
  4
  5
 5
 6
 
 7
 7
  7
 7

  
  
  
ii
1


2556
 

 . 
1. 
 
 Master of Science Program in Mathematics
. 
 

..
Master of Science
M.Sc.
* TRANSCRIPT
FIELD OF STUDY : Mathematics
*. 
 : 
 
   
  
4. 
  42

2
. 
    
  
     
     
*5.4 
 

 
 
 
  
   


 chnology
Peking University    Joint research  
Heidelberg Joint and Sandwich Ph.D. projects, Exchange Students and
teaching staffs Wales at SwanseaJoint and
Supervision of Ph.D. degrees, Exchange Students, Exchange of information
5.5 

  
 
3
. /
6.1 

   
  
  

   2556
  
  
6.2 
6.2.1 
  52555  10 
6.2.2 

 

. 
2556
. 


 







xxx
.. 
.. 
Ph.D. (Mathematics) Pennsylvania State U.




xxx
.. 
.. 
Ph.D. (Mathematics) Pennsylvania State U.



4







xxx
.. 
.. 
.. () 




xxx
.. 
M.S. (Mathematics) Cornell U.
Ph.D. (Mathematics) Cornell U.




xxx
.. 
.. 
Ph.D. (Mathematics) U. of Wales at
Swansea




3 1006 00237 xxx


M.S.(Mathematics) U. of Louisiana at
Lafayette
Ph.D.(Mathematics) U. of Louisiana at
Lafayette



2553
. 
 

 
 



 


5
12.      
 

    
 
 
 

 


  
 
13.2 
* 
 
14.2 




14.3  
1. M.S.Ph.D. (Mathematics)University of Western Australia

M.S. Ph.D. (Mathematics) University of Illinois at Urbana
Champaign

6
 . 
1.    
1.1 
     
    
    
   
    
  

 
  

 
 
  

1.3 







 






7
*1.4 


1. 

2.  

3. 







 






 

  
 

 

  
 



8
 
 
 
2. 








ISI



-

-

ISI
-


-








- 


- 


















9
 .   
1. 
1.1 
   
   
   
 


 
--
*1.4 
 9-22  7 
  15  6 
2.  
2.1 -
  : -
 : -
 : -
  : -
 : -
 : -
  : -
 : -
 : 
2.2 
(1) 
 
(2)   

10
*
  



2.3 
  
    


2.4



 
 
 
    

 


54
55
2556
2557


16
15
20
20








41
40




16


20
2
11
 
:








5,600
5,250
7,000
7,000
7,000

2,080,000
2,080,000
2,340,000
2,600,000
2,860,000

2,085,600
2,085,250
2,347,000
2,607,000
2,867,000
:









26,400
-
89,600
120,000
120,000

26,400
-
89,600
120,000
120,000
2. 

126,400
140,600
217,872
240,000
240,000

320,800
236,000
198,000
217,000
217,000

32,000
32,000
20,000
22,000
22,000

400
400
400
1,000
1,000

172,400
120,600
175,600
200,000
200,000

652,000
529,600
611,872
680,000
680,000

678,400
529,600
701,472
800,000
800,000

41
40




16,546
13,240
17,536
000
000


12




E-learning

 ……………………………………………………
  

3. 
 
3.1.1 
 42

2
3.1.2 








-

-
-
-
-
-
-
-




  

13
3.1.3 
1
1)  S/U 
2301560  -2-5
Computer Tools in Mathematics
  --
Research in Mathematics I
  --
Research in Mathematics II
 
  
Thesis

 S/U 
2301560  -2-5
Computer Tools in Mathematics
  --
Research in Mathematics I
 9 


  --
Linear and Multilinear Algebra
  --
Abstract Algebra I
2301614  --
Abstract Algebra II
14

2301620  --
Mathematical Analysis
2301621  --
Real Analysis I
2301622  --
Real Analysis II
  --
Complex Analysis

  --
Topology
2301632  --
Algebraic Topology
2301635  --
Differentiable Manifold

  --
Methods of Applied Mathematics I
2301650  --
Partial Differential Equations I
2301653  --
Numerical Analysis I
2301671  --
Foundations of Operations Research I
 15 

2301510  --
Fundamentals of Abstract Mathematics
2301520  --
Fundamentals of AMCS
2301532  3(3-0-9)
Coding Theory
15
2301600  3(3-0-9)
Foundations of Mathematics
2301609 1 3(3-0-9)
Analytic Number Theory I
2301611  3(3-0-9)
Applied Linear Algebra
2301612  3(3-0-9)
Representation Theory I
2301615  3(3-0-9)
Homological Algebra
2301616  3(3-0-9)
Algebraic Semigroup Theory
2301617  3(3-0-9)
Lie Algebras I
2301618  3(3-0-9)
Combinatorial Theory
2301619 I 3(3-0-9)
Algebraic Number Theory I
2301624  --
Applied Analysis
2301625  --
Stochastic Processes
2301629  3(3-0-9)
Functional Analysis
2301642  3(3-0-9)
Methods of Applied Mathematics II
2301643  3(3-0-9)
Introduction to Mathematical Fluid Dynamics
2301644  3(3-0-9)
Computational Fluid Mechanics
2301645  3(3-0-9)
Linear Programming Theory
2301647  3(3-0-9)
Introduction to Boundary Element Methods
16
2301654  3(3-0-9)
Numerical Analysis II
2301655  3(3-0-9)
Systems and Mathematical Control Theory I
2301661  3(3-0-9)
Probability Theory
2301665  3(3-0-9)
Mathematical Statistics
2301670  3(3-0-9)
Graph Theory and Applications
2301672  3(3-0-9)
Foundations of Operations Research II
2301674  3(3-0-9)
Integer and Nonlinear Programming
2301675  3(3-0-9)
Mathematical Modeling
2301676  3(3-0-9)
Stochastic Models
2301677  3(2-2-8)
Linear Network Optimization
2301678  3(3-0-9)
Scientific Computing
2301681  3(3-0-9)
Design and Analysis of Algorithms
2301683  3(3-0-9)
Parallel Computing
2301686  3(3-0-9)
Fuzzy Logic
2301688  3(3-0-9)
Signal Processing
2301689  3(3-0-9)
Artificial Neural Networks
2301690  3(3-0-9)
Special Topics in Advanced Mathematics
17
2301691  3(3-0-9)
Special Topics in Algebra5
2301692  3(3-0-9)
Special Topics in Analysis
2301693  3(3-0-9)
Special Topics in Geometr
2301694  3(3-0-9)
Special Topics in Applied Mathematics
2301695  3(3-0-9)
Special Topics in Computational Science
 3 --
Research in Mathematics III
 4 --
Research in Mathematics IV
 5 --
Research in Mathematics V
 6 --
Research in Mathematics VI
2301711  3(3-0-9)
Algebraic Geometry
2301717  3(3-0-9)
Lie Algebras II
2301719  3(3-0-9)
Algebraic Number Theory II
2301721  3(3-0-9)
Advanced Analysis I
230173  3(3-0-9)
Adaptive Finite Element Methods
2301783  3(3-0-9)
Advanced Topics in Algebra
2301784  3(3-0-9)
Advanced Topics in Analysis
2301785  3(3-0-9)
Advanced Topics in Geometry
18
2301790  3(3-0-9)
Individual Study
2301791  3(3-0-9)
Selected Topics in Mathematics I
2301792  3(3-0-9)
Selected Topics in Mathematics II


 
  
Thesis
3.1.4 
 
 1 

560  
04  
  
 
 1 

0  
  
 
 2 

7  12
 12
 2 

  12
 12
19
 
 1 

560  
 6
 6
 
 1 

 3
 9
 
 2 

04  
 
 
 2 

230 1813  

3.1.5 
*3.1.6 
20
 
 

-









2554
2555
2556
2557

 xx x

.. 
.. 
.. () 
8
-
540
540
600
600

 xx x

.. 
.. 
Ph.D. (Mathematics) Pennsylvania State U.

-
650
650
620
620

 xx x

.. 
.. 
Ph.D. (Mathematics) Pennsylvania State U.
-
580
580
540
540

 xx x

.. 
.. 
.. () 
-
-
650
650
20
620

 xx x

.. 
M.S. (Mathematics) Cornell U.
Ph.D. (Mathematics) Cornell U.
-
-
600
600
620
620

 xx x

.. 
M.S. (Mathematics) U. of Illinois at Urbana-
Champaign
Ph.D. (Mathematics) U. of Illinois at
Urbana-Champaign
-
-
650
650
600
600
21

-









2554
2555
2556
2557

 xx x

.. 
.. 
Ph.D. (Mathematics) U. of Wales at
Swansea

-
-
650
650
620
620

 xx x

.. () 
Ph.D. (Mathematics) U. of Maryland
-
-
650
650
620
620

 xx x

.. () 


-
580
580
600
580


 xx x



M.S.(Mathematics) U. of Louisiana at
Lafayette
Ph.D.(Mathematics) U. of Louisiana at
Lafayette
-
-
580
580
600
580

22
 

-









2554
2555
2556
2557

 xx x

(
M.S. (Computer Science) University of
Illinois atUrbana-Champaign
Ph.D. (Computer Science) University of
Illinois at Urbana-Champaign

-
-
540
540
540
540

 xx x

.. 
.. 
.. () 

-
540
540
600
600

 xx x

B.A. (Mathematics) ElonCollege, U.S.A.
M.A. (Mathematics) University of North
Carolina, U.S.A.
-
-
540
540
540
540

 xx x

.. 
.. 
Ph.D. (Mathematics) Pennsylvania State U.

-
650
650
620
620

 xx x

.. 
.. 
Ph.D. (Mathematics) Pennsylvania State U.
-
580
580
540
540

 xx x

.. 
.. 
.. () 
-
-
650
650
20
620

 xx x

.. 
.. 
.. () 
-
-
580
580
580
600
23

-









2554
2555
2556
2557

 xx x

.. 
M.S. (Mathematics) Cornell U.
Ph.D. (Mathematics) Cornell U.
-
-
600
600
620
620

 xx x

.. 
M.S. (Mathematics) U. of Illinois at Urbana-
Champaign
Ph.D. (Mathematics) U. of Illinois at
Urbana-Champaign
-
-
650
650
600
600


 xx x

.. 
M.S. (Physics) U. of California at Los Angeles
Ph.D. (Physics) U. of California at Los Angeles

-
580
600
600
600


 xx x

.. () 
.. () 
.. () .
-
-
580
580
600
600


 xx x

.. 
.. 
 () 
-
-
580
580
600
600


 xx x

.. 
.. 
Ph.D. (Mathematics) U. of Wales at
Swansea

-
-
650
650
620
620


 xx x

.. () 


-
-
580
600
600
620
24

-









2554
2555
2556
2557


 xx x


M.S.(Computer Sciences), University of
Wisconsin-Madison.
Ph.D. (Computer Sciences), University of
Wisconsin-Madison

-
-
600
620
620
620


 xx x

.. 
M.A. (Mathematics) U. of California at Los
Angeles
Ph.D.(Mathematics) U. of California at Los
Angeles
-
-
580
580
600
600


 xx x

.. () 
M.S. (Mathematics) U. of Illinois at Urbana-
Champaign
Ph.D. (Mathematics) U. of Illinois at
Urbana-Champaign

-
580
580
600
600


 xx x

.. () 
Ph.D. (Mathematics) U. of Maryland
-
-
650
650
620
620


 xx x

.. () 
M.S. (Mathematics) U. of Illinois at
Urbana-Champaign
Ph.D. (Applied Mathematics) U. of
Colorado
-
-
600
620
620
620


 xx x

.. () 


-
580
580
600
580
25

-









2554
2555
2556
2557


 xx x

.. () 

Ph.D. (Mathematics) Pennsylvania State U.

-
-
600
620
620
620


 xx x

.. () 


-
-
600
620
620
620


 xx x

.. () 
M.S. (Mathematics) U. of Illinois at Urbana-
Champaign
Ph.D. (Mathematics) U. of Illinois at
Urbana-Champaign
-
-
-
580
580
600
620


 xx x

.. () 


-
-
580
580
600
600


 xx x

B.S. (Mathematics)
Rensselaer Polytechnic Institute
M.S. (Mathematics) New York U.
Ph.D. (Mathematics) U. of Maryland at
College Park
-
-
600
600
600
620


 xx x

B.S. (Mathematics) U. of Delaware
M.S. (Mathematics) U. of Arizona
Ph.D. (Industrial & Systems Engineerings)
Virginia Polytechnic Institute and State U.
-
600
600
600
620
26

-









2554
2555
2556
2557


 xx x

.. () 

Ph.D. (Mathematics) U. of Notre Dame
-
-
-
580
600
600
620


 xx x


Ph.D.(Mathematics) U. of Louisiana at
Lafayette
-
-
580
580
600
580


 xx x


Ph.D.(Mathematics) Louisiana State U. and A & M
College
-
-
-
580
600
600
620


 xx x


Ph.D.(Mathematics) U. of East Anglia
-
-
580
580
600
580


 xx x

B.S.,M.S., Ph.D.(Mathematics) Victoria
University of Wellington, New Zealand
-
-
580
600
600
620


 xx x


M. Sc. (Applied Mathematics) Clemson
Universty, USA
Ph. D. (Applied Mathematics) University of
Colorado at Denver, USA
-
-
580
600
600
620


3 2007 0091 xx x


Ph.D.(Mathematics) U. of East Anglia
-
-
-
580
580
600
580
27
 

-









B.Sc. Hons. (Mathematics)
James Cook U. of North
Queensland
M.Sc. (Mathematics) U. of Adelaide
Ph.D. (Mathematics)
U. of Illinois at Urbana-Champaign
1. C. Hengkrawit, V. Laohakosol and W. Pimsert, Rational
Divide-and-Conquer Relations,
ISRN Mathematical Analysis, Volume 2011 (2011), pp. 1 -
14, doi:10.5402/2011/908508
2. T. Komatsu, V. Laohakosol and P. Ruengsinsub,
Independence measures of arithmetic functions,
Journal of Number Theory, 131 (2011), 117.
3. V. Laohakosol and W. Pimsert, A universal Cauchy
functional equation over the positive reals *, J. Math.
Anal. Appl. 375 (2011) 777789
4. C. Hengkrawita, V. Laohakosol and W. Pimsert,
Solutions of a class of nonlinear recursive equations
and applications, ScienceAsia 37 (2011): 136144
5. S. Prugsapitaka and V. Laohakosol, Some families of
Diophantine quadruples, ScienceAsia 37 (2011): 152159
6. C. Hengkrawit, V. Laohakosol and J. Tongsomporn, A
stability result for a generalized trigonometric-
quadratic functional equation with one unbounded
function, WSEAS TRANSACTIONS on MATHEMATICS, Issue
8, Volume 10, August 2011, 279-290
28

-




7. V. Laohakosol and W. Rungrottheera, Entire function
solutions of a system of two recurrent step equations
with exponential polynomial coefficients, Journal of
Difference Equations and Applications, Vol. 17, No. 11,
November 2011, 16951710
8. C. Hengkrawit, V. Laohakosol and J. Tongsomporn,
Hyers-Ulam stability of a generalized trigonometric-
quadratic functional equation, International
Conference on Applied and Computational
Mathematics,2011, 127-132
9. V. Laohakosol and W. Pimsert, A UNIVERSAL CAUCHY
FUNCTIONAL EQUATION OVER THE POSITIVE REALS II,
AIP Conf. Proc. 1309, pp. 623-628; (2010)
10. P. Ruengsinsub and V. Laohakosol, LINEAR
DEPENDENCE OF TWO ARITHMETIC FUNCTIONS, AIP
Conf. Proc. 1309, pp. 799-804; (2010)
11. T. Chaichana, V. Laohakosol and T. Komatsu,
INDEPENDENCE OF LIOUVILLE SERIES,
AIP Conf. Proc. 1309, pp. 200-205; (2010)
12. J. Rattanamoong, V. Laohakosol and T. Chaichana, An
analogue of an expansion of Oppenheim in a field of
formal series, AIP Conf. Proc. 1309, pp. 786-792; (2010)
29

-




13. O. Panprasitwech, V. Laohakosol and T. Chaichana,
SYMMETRIC CONTINUED FRACTIONS, AIP Conf. Proc.
1309, pp. 745-750; (2010)
14. C. Hengkrawit, V. Laohakosol and J. Tongsomporn, A
note on the stability of a generalized trigonometric
functional equation, AIP Conf. Proc. 1309, pp. 909-914
(2010)
15. J. Tongsomporn, V. Laohakosol, C. Hengkrawit and P.
Udomkavanich, Stability of a generalized trigonometric
functional equation, Volume 234 Issue 5, July, 2010,
1448-1457
16. V. Laohakosol and S. Janphaisaeng, Quasi-
permutation polynomials, Czechoslovak Mathematical
Journal, vol. 60 (2010), issue 2, pp. 457-488
17. T. Komatsu and V. Laohakosol, On the Sum of
Reciprocals of Numbers Satisfying a Recurrence
Relation of Order s, Journal of integer sequences, Vol.
13 (2010), 1-9
18. D. Chunarom and V. Laohakosol, EXPANSIONS OF
REAL NUMBERS IN NON-INTEGER BASES, J. Korean Math.
Soc. 47 (2010), No. 4, pp. 861- 877
30

-




19. T.Chaichana, T. Komatsu and V. Laohakosol, Liouville
numbers in the non-archimedean case, Publicationes
Mathematicae Debrecen, Volume 77, 2010 , 39- 63
20. C. Hengkrawit, V. Laohakosol and P. Udomkavanich,
Rational Recursive Equations Characterizing
Cotangent-tangent and Hyperbolic Cotangent-tangent
Functions, Bull. Malays. Math. Sci. Soc. (2) 33(3) (2010),
421428
21. N. Pabhapote and V. Laohakosol, Distributive
property of completely multiplicative functions,
Lithuanian Mathematical Journal, Vol. 50, No. 3. (1 July
2010), pp. 312-322
22. N. Pabhapote and V. Laohakosol, Combinatorial
Aspects of the Generalized Euler's Totient,
International Journal of Mathematics and Mathematical
Sciences,
Volume 2010 (2010),
23. V. Laohakosol, P. Tangsupphathawat and S. Dangskul,
Values Taken By Linear Combinations of Cosine
Functions, Applied Mathematics E-Notes, 10(2010), 184-
190
31

-




24. K. Kuhapatanakul and V. Laohakosol, Reciprocal
Sums of Elements Satisfying Second Order Linear
Recurrences, Chamchuri Journal of Mathematics, Vol. 2,
No. 1 (June 2010), 93-100
 



.. () 
M.S. (Civil and Environmental
Engineering ) U. of Wisconsin at
Madison
Ph.D. (Mathematics) U. of Wisconsin at
Madison
R. Grimshaw, M. Maleewong and J. Asavanant, Stability of
gravity-capillary waves generated by a moving pressure
disturbance in water of finite depth, Phys. Fluids 21,
082101 (2009)
Mr.Paolo Bertozzini




Laurea (Physics) Universita' di Bologna, Italy.
Dottorato di Ricerca (Mathematics)
Universita' di Milano, Italy
Paolo Bertozzini, Roberto Conti, Wicharn
Lewkeeratiyutkul, "A Remark on Gel'fandDuality for
Spectral Triples", Bullettin of the Korean Mathematical
Society, 48, n. 3, 505-521 (2011),
Paolo Bertozzini, Roberto Conti, Wicharn
Lewkeeratiyutkul, ''A Horizontal Categorification of
Gel'fand Duality'', Advances in Mathematics, 226, n. 1,
584-607 (2011),
Paolo Bertozzini, Roberto Conti, Wicharn
Lewkeeratiyutkul, "Modular Theory, Non-commutative
Geometry and Quantum Gravity", Symmetry, Integrability
and Geometry, SIGMA, 6, 067, 47 pp. (2010),
32

-




Paolo Bertozzini, Kasemsun Rutamorn, "Krein C*-
categories'', Chamchuri Journal of Mathematics, 1, n. 2,
61-74 (2009);
Pichkitti Bannangkoon, Paolo Bertozzini, Wicharn
Lewkeeratiyutkul, "Spectral Theory on Commutative
Krein C*-algebras'', AMM 2009, Collection of Full Papers,
38-55 (2009
Paolo Bertozzini, Roberto Conti, Wicharn
Lewkeeratiyutkul, "Non-commutative Geometry,
Categories and Quantum Physics", Contributions in
Mathematics and Applications II, East-West Journal of
Mathematics, Special Volume 2007, 213-259 (2008)
7. Paolo Bertozzini, Roberto Conti, Wicharn
Lewkeeratiyutkul, 'Categorical Non-commutative
Geometry ", (31 January 2011). (Preprints)
8. Paolo Bertozzini, Roberto Conti, Wicharn
Lewkeeratiyutkul, ''Enriched Fell Bundles and Spaceoids",
(30 November 2009). (Preprints)
9. Paolo Bertozzini, Roberto Conti, Wicharn
Lewkeeratiyutkul, ''A Spectral Theorem for Imprimitivity
C*-Bimodules'', (08 December 2008). (Preprints)





.. () 1
.. () 
Ph.D.(Mathematics)U. of Notre Dame
-
33
4.  ( )
5.  
5.1 
 



5.2 
  


5.3 

 

  
Thesis

  
Thesis
34
 








 





5.6  



 








35
4. 
 




- 


-
-
- 



-



-


- 

- 

-




-
-
-


-



36




-
-

-

-


-


- 

-




- 



-

-

-

- 

-


37





: 



1.2 : 





tutorial group 









: 


: 





 







38




: 


: 


: 





tutorial group 








. 
: 


: 


: 



: 


: 





tutorial group 








39




: 


: 


 
 
tutorial group 









: 

 










: 











: 



 







40



: 




2. 



3. 
(Curriculum Mapping)
- 
Master of Science, Master of Science Program in Mathematics (M.Sc.)

:
 































































































 


41
 . 
 ()
A B+ B C+ C D+ D F S U
A B+ B C+ C D+ D F S U

2. 

 






 




 
Proceedings)

 


 


Proceedings)

 
42
 . 

 
 
  

 
 




 



 
 

43
 . 
 






2. 
 


 
1. 

2. 0
   


3. 
  

  


-
 

44

 


    

2.4 

 

 
3.1 
 

  

 
 
    
      
  

 
 
 

4. 
 
  

 
 
 / 

45
5. 
   
  




  
  

 
      

   /


46
  (Key Performance Indicators)
CU-CQA




1. 
1.1 GPAX

2. 
2.1 
100%
2.2 

2.3 

2.4 -
2 : 8 : 
2.5 
100%
2.6 
5 (
3. 
3.1 

3.2 
10
3.3 
0
3.4 

3.5 
4 (
4. 
4.1 
8
4.2 
1 : 5
4.3 FTES
4.4 FTES
4.5 
4 (
4.6 
%
4.7    
%
4.8 
1
4.9 
4 (
5. 
5.1 
0. 
5.2 
0. 
5.3 
18,272.72 
47
 . 
 
 

1.2 

2. 
 


 
CU-CQA
  /   
4. 



*
48


49


50

 2553
 255









--

--
-
--
-
--
-
--
-
--
-
--
-
--
















-
--
-
--
-
-
-

-







(S/U 
(S/U 
2301560 2
2301560 2
2301704 1
2301704  1

2301705 2
2301705  2




23018 

23018 



(S/U 
(S/U 
2301560 2
2301560 2
2301704 1
2301704  1


2  
2  


2301610 
3
2301610 
3

2301613 1
3
2301613 1
3
2301614 2
2301614 2


2301620 
3
2301620 
3
2301621 1
3
2301621 1
3
2301622 2
3
2301622 2
3
2301623 
3
2301623 
3
51
 2553
 255





2301631 
3
2301631 
3
2301632 
3
2301632 
3
2301635 
3
2301635 
3



2301641 1
3
2301641 1
3
2301650 1
3
2301650 1
3
2301653 1
3
2301653 1
3
2301671 1
3
2301671 1
3










2301600 
3
2301600 
3
2301609 1
3
2301609 1
3
2301611 
3
2301611 
3

2301612 
2301612 
2301615 
3
2301615 
3
2301616 
3
2301616 
3
2301617 1
3
2301617 1
3
2301618 
3
2301618 
3
2301619 1
3
2301619 1
3
2301624 
3
2301624 
3
230162 
3
230162 
3
2301626 
3

2301629 
3
2301629  
3
2301642 1
3
2301642 1
3
2301643 3
2301643 3

2301644 
3
2301644  
3
2301645 
3
2301645 
3
2301647 
3
2301647 
3
2301648 3

2301654 2
3
2301654 2
3
2301655 1
2301655 1
2301661 
3
2301661 
3

2301665 
3
2301665 
3
2301670 
3
2301670 
3
2301672 2
3
2301672 2
3
2301673 

2301674 

2301674 


52
 2553
 255

2301675 
3
2301675 
3
2301676 
3
2301676 
3
2301677 
2301677 

2301678 
3
2301678 
3
2301681 
3
2301681 
3
2301682 

2301683 
3
2301683 
3

2301684 3

2301685 

3

2301686 
3
2301686 
3

2301687 
3

2301688 
3
2301688 
3
2301689 
3
2301689 
3
2301690 
3
2301690 
3
2301691 
3
2301691 
3

2301692 
3
2301692 
3
2301693 
3
2301693 
3
2301694 
3
2301694 
3
2301695 
3
2301695 
3
2301706 3

2301707 4

2301708 5

2301709 6
2301711 
3
2301711 
3
2301717 2
3
2301717 2
3
2301719 2
3
2301719 2
3
2301721 1
3
2301721 1
3
2301753 
3
2301753 
3
2301783 
3
2301783 
3

2301784 
3
2301784 
3
2301785 
3
2301785 
3
2301790 
3
2301790 
3
2301791 1
3
2301791 1
3
2301792 2
3
2301792 2
3
 
 
 
 
 

 





23018 

230183 


53


54



31
35


 D. Thongtha and K. Neammanee, Constants on a Uniform Berry-Esseen Bound on Some Borel Set in
R^{k} via Stein’s Method. Communications in Statistics: Theory and Method, (Accepted).
2 K. Neammanee and N. Rerkruthairat, An Improvement of a Non-Uniform Bound on Normal
Approximation of Randomized Orthogonal Array Sampling Designs. Communications in Statistics:
Theory and Method, (Accepted).
3 K. Neammanee and N. Rerkruthairat, An improvement of a Uniform Bound on a Combinatorial
Central Limit Theorem. Communications in Statistics: Theory and Method, (Accepted).
4. K. Neammanee and An. Kaewkhao, Best proximity points of cyclic -contractions with property UC. (submit).
. D. Thongtha and K. Neammanee, Bounds on normal approximation on a half plane in
multidimension. Journal of Mathematics Research, Vol. 4, No. 1, Feb 2012, pp. 9-16.
. N. Rerkruthairat, K. Neammanee, Uniform Bound on Normal Approximation of Latin Hypercube
Sampling. Journal of Mathematics Research, Vol. 3, No. 2, May 2011, pp. 98-106.
. K. Neammanee, A. Kaewkhao, On Multi-valued Weak Contraction Mappings. Journal of Mathematics
Research, Vol. 3, No. 2, May 2011, pp. 151-156.
. Vitidpong Pavongsa, Kritsana Neammanee, Stein's equation and the approximation of Chi-square
distribution. Proceedings of The 16th Annual Meeting in Mathematics, Khon Khan, Thailand, 11-12 March
2011, pp. 247-253.
. K. Neammanee and An. Kaewkhao, Fixed Points and Best Proximity Points for Multi-valued Mapping
Satisfying Cyclical Condition. International Journal of Mathematical Science and Applications, Vol. 1, No.
1, Jan 2011, pp. 1-9 (Online)
. Kritsana Neammanee, Annop Kaewkhao, Fixed Point Theorems of Multi-Valued Zamfirescu Mapping.
Journal of Mathematics Research, Vol. 2, No. 2, May 2010, pp. 150-156.
. Kritsana Neammanee and Annop Kaewkhao, Fixed Point Theorems of Multi-valued Zamfirescu
Mapping. Journal of Mathematics Research, Vol. 2, No. 2, May 2010, pp. 150-156.
. K. Neammanee, P. Rattanawong, Non-uniform Bound on Normal Approximation of Latin
Hypercube Sampling. Journal of Mathematics Research, Vol. 1, No. 2, Sep 2009, pp. 28-42.
. K. Neammanee, P. Rattanawong, A Constant on a Uniform Bound of a Combinatorial Central Limit
Theorem. Journal of Mathematics Research, Vol. 1, No. 2, Sep 2009, pp. 91-103.
55
1. N. Chaidee and K. Neammanee, On the strong law of large numbers for pairwise negative quadrant
dependent identically distributed random variable with infinite means. ScienceAsia, Vol. 35, No. 3,
Sep. 2009, pp. 290-294.
1. K. Neammanee and S. Pianskool, The Distribution of a Forward Stochastic Desease-Model. Thai
Journal of Mathematics, Vol. 7, No. 1, June 2009, pp. 201-213.
1. K. Neammanee and A. Santadkarn, On the normal approximation of number of vertices in a random
graph. ScienceAsia, Vol. 35, No. 2, June 2009, pp. 203-210.
1. K. Laipaporn, K. Neammanee and K. Sungkamongkol, An Improvement of Normal Approximation of
Randomized Orthogonal Array Sampling Designs. Stochastic Analysis and Applications, Vol. 27, Issue 4,
July 2009, pp. 713-720.
1. K. Neammanee and P. Rattanawong, A Uniform Bound on The Generalization of a Combinatorial
Central Limit Theorem. International Mathematical Forum, Vol. 3, No. 1, Jan 2008, pp. 11-27.
1. A. Suntadkarn and K. Neammanee, Poisson Approximation of the Number of Vertices in a Random
Graph. International Mathematical Forum, Vol. 3, No. 7, Feb 2008, pp. 331-340.
. N. Chaidee and K. Neammanee, Berry-Esseen Bound for Independent Random Sum via Stein's
Method. International Mathematical Forum, Vol. 3, No. 15, May 2008, pp. 721-738.
. K. Neammanee and K. Laipaporn, A uniform bound on a Combinatorial Central Limit Theorem for
Randomized Orthogonal Array Sampling Designs. Stochastic Analysis and Applications, Vol. 26, Issue 2,
Mar-Apr 2008, pp 243-255.
. K. Laipaporn and K. Neammanee, A non-uniform bound on Normal approximation of Randomized
orthogonal Array Sampling Designs. International Mathematics Forum, Vol. 2, No. 48, 2007, pp. 2347-2367.
. K. Neammanee and N. Sangsrijan, The Strong Law of Large Numbers on A Random Graph.
International Journal of Pure and Applied Mathematics, Vol. 41, No. 5, Oct 2007, pp. 679-688.
2. K. Neammanee, and A. Santadkarn, A Bound on Normal Approximation of Vertices of a Fixed Degree
in a Random Graph. International Journal of Pure and Applied Mathematics, Vol. 40, No. 2, 2007, pp. 241-255.
2. T. Santiwipanont and K. Neammanee, Cutting Operation of DNAs with Various Lengths and Limit
Theorem. Stochastic Modeling and Applications, Vol. 9, No. 1, 2007, pp. 38-54.
2. K. Neammanee and P. Thongtha, Improvement of the non-uniform version of Berry-Esseen Inequality
via Paditz-Siganov theorems. Journal of Inequalities in pure and applied mathematics(JIPAM), Vol. 8, No.
4, 2007, pp. 1-10.
2. P. Thongtha and K. Neammanee, Refinement on the Constants in Non-uniform Version of the Berry-
Esseen Theorems. Thai Journal of Mathematics, Vol. 5, No. 1, June 2007, pp. 1-13.
2. S. Boonta and K. Neammanee, Bounds on Random Infinite Urn Model. Bulletin of the Malaysian
Mathematical Sciences Society, Vol. 30, No 2, 2007, pp. 121- 128.




56


 18
20
Ph.D. (Mathematics), Pennsylvania State of University, USA., 2527


1. S. Jitman, S. Ling, and P. Udomkavanich, Skew contacyclic codes over finite chain rings. Advances in
Mathematics of Communications, Vol. 6, No. 1, Feb 2012, pp. 39-63.
2. S. Pianskool, P. Udomkavanich, P. Youngkhong, On lower semi-contnuity of interval-valued
Multihomomorphisms. Bulletin of the Malaysian Mathematical Sciences Society, Vol. 35, No. 1, Feb 2012,
pp. 79-84.
3. C. Hengkrawit, V. Laohakosol and P. Udomkavanich, Rational recursive equations characterizing
cotangent-tangent and hyperbolic contangent-tangent functions. Bulletin of the Malaysian
Mathematical Sciences Society, Vol. 33, No. 3, 2010, pp. 421-428.
4. T. Eungrasmanee, P. Udomkavanich and P. Nakmahachalasint, On Generalized Stability of an n-
Dimensional Quadratic Functional Equation. Thai Journal of Mathematics, Vol. 8, No. 4 (Special Issue),
Dec 2010, pp. 43-50.
5. S. Jitman and P. Udomkavanich, On the generator polynomials of constacyclic codes over finite chain
rings. International Journal of Pure and Applied Mathematics, Vol. 59, No. 2, Oct 2010, pp. 213-224.
6. J. Tongsomporn, V. Laohakosol, C. Hengkrawit, P. Udomkavanich, Stability of a generalized
trigonometric functional equation. Journal of Computational and Applied Mathematics, Vol. 34, Issue 5,
July 2010, pp. 1448-1457.
7. S. Jitman and P. Udomkavanich, On the Structure of Constacyclic Codes of Length p
s
over
p
k
+ u
p
k
+ … + u
m
1
p
k
. International Journal of Algebra, Vol. 4, No. 11, June 2010, pp. 507-516.
8. S. Jitman and P. Udomkavanich, Skew circulant matrices over finite fields and skew circulant based
additive codes. Advances and Applications in Mathematical Sciences, Vol. 4, Issue 1, May 2010, pp. 23-32.
9. S. Jitman and P. Udomkavanich, The Gray Image of Codes over Finite Chain Rings. International
Journal of Contemporary Mathematical Sciences, Vol. 5, No. 10, 2010, pp. 449-458.
10. P. Udomkavanich and S. Jitman, Bounds and Modifications on Linear Error-block Codes. International
Mathematical Forum, Vol. 5, No. 1, Jan 2010, pp. 35-50.
57
11. P. Udomkavanich and S. Jitman, On the Gray Image of (1u
m
)-Cyclic Codes over
p
k
+ u
p
k
+ +
u
m
1
p
k
. International Journal of Contemporary Mathematical Sciences, Vol. 4, No. 26, Sep 2009, pp.
1265-1271.
12. W. Pimsert, V. Laohakosol, and P. Udomkavanich, Independence Among Various Versions of The
Cauchy’s Functional Equation. Chamchuri Journal of Mathematics, Vol. 1, No. 1, Jun 2009, pp. 45-50.
13. V. Laohakosol, P. Udomkavanich and C. Hengkrawit, Some functional equations characterinzing
trigonometric and hyperbolic tangent and allied functions. East-West Journal of Mathematics, Special
Volume, (ICDMA 2008), pp. 235-242.
14. C. Hengkarwit, V. Laohakosol, P. Udomkavanich and J. Tongsomporn, Some hyperbolic sine-cosine type
functional equations. East-West Journal of Mathematics, Vol. 10, No. 2, Dec 2008, pp. 127-132.
15. W. Pimsert, V. Laohakosol, and P. Udomkavanich, Dependence relations among solutions of a
universal Cauchy’s functional equation. East-West Journal of Mathematics, Vol. 10, No. 2, (ICDMA
2008), pp. 99-108.
16. Ng. Danpattanamongkon, P. Udomkavanich and Y. Kemprasit, Some Transformation Semigroups
Admitting Nearing Structure. Thai Journal of Mathematics, Vol. 5, No. 3(Special Issue), Dec 2007, pp. 1-9.


d
f (n) n c
- 



58


18
20
Ph.D. (Mathematics), Pennsylvania State of University, USA., 2532


1. C. Somboonkulavudi, A. Harnchoowong, Pythagorean Triple Over Gaussian Integers. International
Journal of Algebra, Vol. 6, No. 2, Jan 2012, pp. 55-64.
2. N. Triphop, A. Harnchoowong and Y. Kemprasit, Multihomomorphisms between cyclic groups. Set-valued
Mathematics and Applications, Vol. 1, No. 1, June 2007, pp. 39-48.

 , "
 , 51 562-564 -2550, 51-57.
 , ", 
52 584-586 -2550, 63-74 .


59


8
1



1. P. Chaoha, K. Goebel and I. Termwuttipong, Around Ulam’s question on retractions. Topological
Methods in Nonlinear Analysis, (to appear)
2. M. Hojo, W. Takahashi and I. Termwuttipong, Strong convergence theorem for 2-generalized hybrid
mappings in Hilbert spaces. Nonlinear Analysis, Theory, Methods and Applications, Vol. 75, No. 4,
March 2012, pp. 2166-2176.
3. A. Chonwerayuth, I. Termwuttipong, P. Chaoha, Piecewise continuous mild solutions of a system
governed by impulsive differential equations in locally convex spaces. ScienceAsia, Vol. 37, No. 4,
Dec 2011, pp. 360-369.
4. W. Takahashi and I. Termwuttipong, Weak convergence theorems for 2-generalized hybrid mappings
in Hilbert spaces. Journal of Nonlinear and Convex Analysis, Vol. 12, Issue 2, Aug 2011, pp. 241-255.
5. A. Sassanapitax and I. Termwuttipong, A characterization of completeness in cone metric spaces.
Proceedings of the 7
th
International Conference on Nonlinear Analysis and Convex Analysis (NACA 2011),
Pukyong National University (PKNU), Busan, Republic of Korea, August 2011.
6. A. Sassanapitax and I. Termwuttipong, Banach contraction principle and Kannan fixed point theorem
in cone metric spaces. Proceeding of the 16
th
Annual Meeting in Mathematics, Khon Khan, Thailand, 11-
12 March 2011, pp. 115-122.
7. I. Termwuttipong and T. Kaewtem, Fixed point theorem of half-continuous mappings on topological
vector spaces. Fixed Point Theory and Applications, 2010
8. I. Termwuttipong, W. Hemakul, Y. Kemprasit, Upper semi-continuous interval-valued
multihomomorphisms. International Mathematical Forum, Vol. 5, No. 27, June 2010, pp. 1323-1330.
9. T. Khemaratchatakumthorn and I. Termwuttipong, Metric-preserving functions, W-distances and Cauchy
W-Distances. Thai Journal of Mathematics, Vol. 5, No. 3(Special Issue), Dec 2007, pp. 51-56.
10. N. Thamrongrat and I. Termwuttipong, A fundamental theorem of calculus for Henstock-Stielties
integrals of L
p
-valued functions. Proceeding of the 5
th
Conference on Science and Technology for
Youths (2010), Bitec Bangkok, Thailand, 19-20 Mar 2010, pp. 90-97.




60


34
M.S. (Mathematics), Cornell University, USA., 2538
Ph.D. (Mathematics), Cornell University, USA., 2541


1. P. Bertozzini, R. Conti, W. Lewkeeratiyutkul, A Remark on Gel’fand Duality for Spectral Triples.
Bulletin of The Korean Mathematical Society, Vol. 48, Issue 3, May 2011, pp. 505-521.
2. P. Bertozzini, R. Conti and W. Lewkeeratiyutkul, A horizontal categorification of Gel'fand duality.
Advances in Mathematics, Vol. 226, Jan 2011, pp. 584-607.
3. P. Bertozzini, R. Conti and W. Lewkeeratiyutkul, Modular Theory, Non-Commutative Geometry and
Quantum Gravity. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), SIGMA
6(2010), 067, 47 page, Online August 19, 2010
4. A. Chaiworn and W. Lewkeeratiyutkul, The characterization for the rotation-invariant segal-bargmann
space. International Journal of Pure and Applied Mathematics, Vol. 61(1), June. 2010, pp. 43-52.
5. R. Tanadkitthirun, W. Lewkeeratiyutkul and P. Bertozzini, Tensor Product of Krein Spaces. Annual
Mathematics Conference 2008, 27-28 March 2008.
6. P. Bertozzini, R. Conti, and W. Lewkeeratiyutkul, Non-Commutative Geometry Categories and Quantum
Physics. Contibutions in Mathematics and Application II, East-West Jounal of Mathematics, Special
Volume, 2007, pp. 213-259
7. A. Chaiworn and W. Lewkeeratiyutkul, Rotation-invariant Segal-Bergmann transform. Contributions in
Mathematics and Applications II, East-West J. Math. - a special volume 2007, pp. 159-167.
8. A. Kaewthepand W. Lewkeeratiyutkul, A pointwise bound for rotation-invariant holomorphic functions
that are square integrable with respect to a Gaussian measure. Taiwanese J. Math., Vol. 11, No. 5,
2007, pp. 1443-1455.




61


38
M.S. (Mathematics), University of Illinois at Urbana- Champaign, USA., 2540
Ph.D. (Mathematics), University of Illinois at Urbana-Champaign, USA., 2544


1. P. Chaoha and P. Chanthorn, Fixed point sets through iteration schemes. Journal of Mathematical
Analysis and Applications, Vol. 386, Issue 1, 1 Feb 2012, pp. 273-277.
doi: 10.1016/j.jmaa.2011.07.065
2. A. Chonwerayuth, I. Termwuttipong, P. Chaoha, Piecewise continuous mild solutions of a system
governed by impulsive differential equations in locally convex spaces. ScienceAsia, Vol. 37, No. 4,
Dec 2011, pp. 360-369.
3. S. Iampiboonvatana and P. Chaoha, Virtual Stability without Continuity. Proceedings of Annual Pure and
Applied Mathematics Conference, Chulalongkorn Univ., Thailand, 19-20 May 2011, pp. 121-124.
4. P. Chaoha and W. Atiponrat, Virtually stable maps and their fixed point sets. Journal of Mathematical
Analysis and Applications, Vol. 359, Issue 2, Nov 15, 2009, pp. 536-542.
5. P. Chaoha and P. Chanthorn, Convergence Sets and Fixed Point Sets of Generalized homogeneous
Maps. Thai Journal of Mathematics, Vol. 5, No. 2, Dec 2007, pp. 281-289.
6. P. Chaoha, Virtually nonexpansive maps and their convergence sets. Journal of Mathematical Analysis
and Applications, Vol. 326, No. 1, 2007, pp. 390-397.




62


34
36
Ph.D. (Mathematics), University of Wales at Swansea, 


1. S. Pianskool, P. Udomkavanich, P. Youngkhong, On Lower Semi-contnuity of Interval-Valued
Multihomomorphisms. Bulletin of the Malaysian Mathematical Sciences Society, Vol. 35, No. 1, Feb 2012,
pp. 79-84.
2. S. Pianskool, Y. Punkla, W. Hemakul, Y. Kemprasit, An Embedding Theorem for Hyperintegral Domains.
ANALELE STIINTIFICE ALE UNIVERSITATII AL I CUZA DIN IASI-SERIE NOUA-MATEMATICA, Vol. LVII, April 2011,
pp. 197-206.
3. S. Chinwarakorn, S. Pianskool, Vague Prime Right Ideals and Vague Prime Left Ideals of Vague Rings.
Proceedings of The 16th Annual Meeting in Mathematics, Khon Khan, Thailand, 11-12 March 2011, pp. 273-
284.
4. J. Kaewwangsakoon; S. Pianskool, Higher Derivations and Jordan Triple Higher Derivations of -rings.
Proceedings of The 16th Annual Meeting in Mathematics, Khon Khan, Thailand, 11-12 March 2011, pp. 143-
153.
5. R.I. Sararnrakskul, P. Lertwichitsilp, A. Wasanawichit and S. Pianskool, Certian Maximal Commutative
Subrings of Full Matrix Rings. Chamchuri Journal of Mathematics, Vol. 2, No. 1, June 2010, pp. 47-55.
6. S. Pianskool and P. Khachorncharoenkul, Simple -Seminearrings. Journal of Mathematics research, Vol.
1, No. 2, Sep 2009, pp. 124-129.
7. K. Neammanee and S. Pianskool, The Distribution of a Forward Stochastic Desease-Model. Thai
Journal of Mathematics, Vol. 7, No. 1, June 2009, pp. 201-213.
8. S. Pianskool, S. Sangwirotjanapat and S. Tipyota, Valuation -Semirings and Valuation -Ideals. Thai
Journal of Mathematics, Vol. 6, No. 3 (Special Issue), Dec 2008, pp. 93-102.
9. S. Pianskool, Y. Punkla and Y. Kemprasit, Some Regular Multiplicative Hyperrings. East-West Journal of
Mathematics, Vol. 4, No. 3 Special Volume for ICDMA, Dec. 2008,
pp. 145-151.
10. R. I. Sararnrakskul, S. Pianskool, Y. Kemprasit, Some Local Subsemigroups of the Full Transformation
Semigroup on a Set. East-West Journal of Mathematics, Vol. 4, No. 3 Special Volume for ICDMA, Dec.
2008, pp. 163-169.
11. S. Pianskool, W. Hemakul and S. Chaopraknoi, On Homomorphisms of Some Multiplicative Hyperrings.
Southeast Asian Bulletin of Mathematics, Vol. 32, No. 5, Nov 2008, pp. 951-958.
63
12. S. Chaopraknoi, S. Hubuntud and S. Pianskool, Admitting a Semihyperring with Zero of Certain Linear
Transformation Subsemigroups of L
R
(V, W) (PartII). Thai Journal of Mathematics, Vol. 6, No. 3 (Special
Issue), Dec 2008, pp. 45-58.




64
 

.. () 
Ph.D. (Mathematics) University of Maryland, 


1. P. Ruankong and S. Sumetkijakan, On a Generalized *-Product for Copulas. Proceedings of Annual Pure
and Applied Mathematics Conference, Chulalongkorn Uni., Thailand, 19-20 May 2011, pp. 13-21.
2. S. Sumetkijakan, A Linear Singularity Analysis by the Continuous Shearlet Transform. Sampling Theory in
Signal and Image Processing, Vol. 10, No. 1-2, 2011, pp. 77-87.
3. P. Lakhonchai, J. Sampo and S. Sumetkijakan, Shearlet Transforms and Directional Regularities.
International Journal of Wavelets, Multiresolution and Information Processing (IJWMIP), Vol. 8, Issue 5, Sep.
2010, pp. 743-771.
4. J. Sampo, and S. Sumetkijakan, Estimations of Hölder Regularities and Direction of Singularity by Hart
Smith and Curvelet Transforms. Journal of Fourier Analysis and Applications, Vol. 15, Issue 1, Feb 2009,
pp. 58-79.
5. C. Viriyapong, S. Sumetkijakan, On Supersets of Wavelet Sets. Acta Applicandae Mathematicae, Vol. 107,
Issue 1-3, Jul 2009, pp. 173-193.
6. T. Santiwipanont and S. Sumetkijakan, Multifractality of Daily Rainfall in Thailand. The Journal of
Scientific Research of Chulalongkorn University, Vol. 33 (2), 2008, pp. 63-72.




65







1. N. Chaidee and K. Neammanee, On the strong law of large numbers for pairwise negative quadrant
dependent identically distributed random variable with infinite means. Science Asia, Vol. 35, No. 3,
Sep 2009, pp. 290-294.
2. N. Chaidee and M. Tuntapthai, Berry-Esseen Bounds for Random Sums of Non-i.i.d. Random Variables.
International Mathematical Forum, Vol. 4, No. 26, 2009, pp. 1281-1288.
3. N. Chaidee and K. Neammanee, Berry-Esseen Bound for Independent Random Sum via Stein’s
Method. International Mathematical Forum, Vol. 3, No. 15, 2008, pp. 721-738.

 
----


66
 



M.S.(Mathematics) U. of Louisiana at Lafayette
Ph.D.(Mathematics) U. of Louisiana at Lafayette


1. E. Sanguanlorsit, J. Laorpaksin and R. Boonklurb, Sequential dissection of a rectangle into triangles and
hexagons. Proceedings of Annual Pure and Applied Mathematics Conference, Chulalongkorn Univ.,
Thailand, 19-20 May 2011, pp. 101-108
2. R. Boonklurb and C.Y. Chan, A Computational Method of the Solution Profile Beyond Quenching for
A Multi-Dimensional Parabolic Problem. Proceedings of Neural, Parallel, and Scientific Computations,
Vol. 4, 11-14 Aug 2010, pp. 65-71.
3. R. Lipikorn, K. Chunhapongpipat, S. Sirisup, R. Boonklurb and N. Cooharojananone, Medical Image
Segmentation Using Modified Level-Set Model with Multi-Scale Multi-Scale Gradient* Vector Flow.
Proceedings of The International Symposium on Signal Processing, Image Processing and Pattern
Recognition, Vol. 123, 13-15 Dec 2010, pp. 49-57. (Book Chapter in Communications in Computer and
Information Science)

 , . ,
17, -53, 73-77.

