Assoc. Prof. Dr. Patanee Udomkavanich

Office : Room 401.03, Mathematics Building

Phone : 02-218-5164

Email : pattanee.u@chula.ac.th

Department of Mathematics, Faculty of Science, Chulalongkorn University,Bangkok 10330, Thailand

 

 

Teaching

 

 

 

 

 

2301337

Abstract Algebra I

 

 

 

Course Syllabus

 

 

 

Handout

 

 

 

Error Correcting Codes

 

 

 

Exercise

 

 

 

 

 

2301338

Abstract Algebra II

 

 

 

Course Syllabus

 

 

 

Handout

 

 

 

Exercise

 

 

 

 

 

2301613

Abstract Algebra I

 

 

 

Course Syllabus

 

 

 

Handout

 

 

 

 

 

 

 

 

 

2301532

Coding Theory

 

 

 

Course Syllabus

 

 

 

Handout

 

 

 

 

 

2301510

 

FUND ABST MATH

 

 

 

Course Syllabus

Date

Program

   April 30, 2008

   13.00-16.00 : Quiz

 

 

 

Handout

   May 7, 2008

     9.00-12.00 : Midterm Examination

 

 

 

 

 

Exercise

 

 

 

 

 

 

 

Students2008

 

Others

Self Study (by Mrs. Ruangvarin Intarawong Sararnrakskul et al.)

 

 

 

 

 

 

Research Area :

Algebra

 

      • Semigroups and Languages

      • Syntactic monoids of prefix codes

      • Transformation semigroups

      • Arithmetric Functions,

      • Functional Equations

     • Error Correcting Codes

Publications

 

 

1. P. Ruangsinsap, V. Laohakosol, P. Udomkavanich , 2001, Arithmetic Functions over Rings with Zero Divisors, Bull. Malaysian Math. Sc. Soc. (Second Series) ,

     Vol. 24, No 1., 2001.

2. Khajee Jantarakhajorn, Pattanee Udomkavanich, Subgroups of Syntactic Monoids of Finite Inverse Biprefic Codes, Proceedings of the Annual Meetings in Mathematic 2001 ,

     pp. 90-98.

3. Pattira Ruansinsap, Vichian Laohakosol and Pattanee Udomkavanich , 2001, “Arithmetic Functions Over Rings with Zero Divisors” Bull. Malaysian Math. Sc. Soc.

     (Second Series) 24,81-91.

4. Ouamporn Phuksuwan, Patanee Udomkavanich , 2003 “ An Analysis of Ritt's Factorization for Exponential Sums”, East-West J. Math.2004 , Special Vol. , 61-72.

5. Pichat Jitjankarn, Patanee Udomkavanich , 2004, “Regularity of Some Regressive Transformation Semigroup”, East-West J. Math.2004 , Special Vol , 111-118.

6. Patanee Udomkavanich , Pichat Jitjankarn, 2005, “Isomorphism Theorems of Regressive Partial Transformation Semigroups” Italian Journal of Pure and Applied Mathematics,

     No. 18, pp. 207-212.

7. P. Udomkavanich , Pichat Jitjankarn, 2005, “Some Isomorphism Theorems on Regressive Transformation Semigroups” The Southeast Asian Bulletin of Mathematics ,

    Vol. 28, pp.

8. Pichat Jitjankarn, Patanee Udomkavanich , 2005, “On Eventually Regular Regressive Transformation Semigroups”, Thai Journal of Mathematics, Special Issue, pp. 15-21.

9. Pattira Ruengsinsub, Vichian Laohakosol, and Patanee Udomkavanich , “Observations about Algebraic Dependence of Dirichlet Series”,

     Journal of Korean Mathematics Society , Vol. 42 (2005), No. 4, pp. 695-708.

Books

 

 

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2. ¾Ñ²¹Õ ÍØ´Á¡ÐÇÒ¹Ôª ( ¾ . È . 2541) “ ËÅÑ¡¤³ÔµÈÒʵÃì ” ¾Ô·Ñ¡Éì¡ÒþÔÁ¾ì ¨Ó¹Ç¹ 218 ˹éÒ

3. ¾Ñ²¹Õ ÍØ´Á¡ÐÇÒ¹Ôª ( ¾ . È . 2545) “ ¡ÒÃÇÔà¤ÃÒÐËìàªÔ§¨Ó¹Ç¹¨ÃÔ§ ” ¾Ô·Ñ¡Éì¡ÒþÔÁ¾ì ¨Ó¹Ç¹ 174 ˹éÒ

4. ¾Ñ²¹Õ ÍØ´Á¡ÐÇÒ¹Ôª ( ¾ . È . 2545) “ ·Äɮըӹǹàº×éͧµé¹ ” ¾Ô·Ñ¡Éì¡ÒþÔÁ¾ì ¨Ó¹Ç¹ 98 ˹éÒ

5. ¾Ñ²¹Õ ÍØ´Á¡ÐÇÒ¹Ôª ( ¾ . È . 2546) “ ÊÁ¡ÒÃàªÔ§¿Ñ§¡ìªÑ¹ ” ¾Ô·Ñ¡Éì¡ÒþÔÁ¾ì ¨Ó¹Ç¹ 59 ˹éÒ