Problem Solving and Selected Topics in Number Theory In the Spirit of the Mathematical Olympiads 1st edition by Michael Rassias 9781441904959 1441904956

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Product details:

• ISBN 10:1441904956 

• ISBN 13:978144190495

• Author:Michael Rassias 

 Problem-Solving and Selected Topics in Number Theory
In the Spirit of the Mathematical Olympiads
The book provides a self-contained introduction to classical Number Theory. All the proofs of the individual theorems and the solutions of the exercises are being presented step by step. Some historical remarks are also presented. The book will be directed to advanced undergraduate, beginning graduate students as well as to students who prepare for mathematical competitions (ex. Mathematical Olympiads and Putnam Mathematical competition).

Problem Solving and Selected Topics in Number Theory In the Spirit of the Mathematical Olympiads 1st  Table of contents:

1 Introduction
2 Arithmetic functions
3 Perfect numbers, Fermat numbers
4 Congruences
5 Quadratic residues
6 The π- and li-functions
7 The Riemann zeta function
8 Dirichlet series
9 Special topics
10 Problems
11 Solutions
References
12 Appendix

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