Michel Waldschmidt

Université Pierre et Marie Curie  Paris 6 , UFR 929


Master of Science in Mathematics,
Royal University of Phnom Penh (URPP - Université Royale de Phnom Penh).
Centre International de Mathématiques Pures et Appliquées CIMPA

Coopération Mathématique Interuniversitaire Cambodge France,
Master Training Program

MMA105: Discrete Mathematics
Phnom Penh, April 20 - May 8, 2009

Syllabus:

1. Counting: Integers, sets, subsets.
2. Combinatorial probability
3. Arithmetics: divisibility, primality, factorization
4. Graphs, trees
5. Cryptography

Control exams
    First assignment, April 24, 2009.
    Second assignment, May 1, 2009.
    Third assignment, May 8, 2009.
    Main assignment, June 4, 2009.

Textbook:
        László Lovász  and Kati Vesztergombi,  Discrete Mathematics, 1999 (ps file, 2,4 Mo).

Further references:
        William Chen- Discrete Mathematics, 201 pp. (web edition, 2008).
        Victor Shoup - A Computational Introduction to Number Theory and Algebra, Cambridge 2005. Second print editon, Fall 2008 (pdf file 3,5 Mo).