Problem-Solving and Selected Topics in Number Theory

In the Spirit of the Mathematical Olympiads

  • Michael Th. Rassias

Table of contents

  1. Front Matter
    Pages i-xv
  2. Michael Th. Rassias
    Pages 1-14
  3. Michael Th. Rassias
    Pages 15-28
  4. Michael Th. Rassias
    Pages 29-35
  5. Michael Th. Rassias
    Pages 37-49
  6. Michael Th. Rassias
    Pages 51-78
  7. Michael Th. Rassias
    Pages 79-82
  8. Michael Th. Rassias
    Pages 83-98
  9. Michael Th. Rassias
    Pages 99-101
  10. Michael Th. Rassias
    Pages 103-145
  11. Michael Th. Rassias
    Pages 147-162
  12. Michael Th. Rassias
    Pages 163-290
  13. Michael Th. Rassias
    Pages 291-316
  14. Back Matter
    Pages 317-324

About this book


This book is designed to introduce some of the most important theorems and results from number theory while testing the reader’s understanding through carefully selected Olympiad-caliber problems. These problems and their solutions provide the reader with an opportunity to sharpen their skills and to apply the theory. This framework guides the reader to an easy comprehension of some of the jewels of number theory The book is self-contained and rigorously presented. Various aspects will be of interest to graduate and undergraduate students in number theory, advanced high school students and the teachers who train them for mathematics competitions, as well as to scholars who will enjoy learning more about number theory. Michael Th. Rassias has received several awards in mathematical problem solving competitions including two gold medals at the Pan-Hellenic Mathematical Competitions of 2002 and 2003 held in Athens, a silver medal at the Balkan Mathematical Olympiad of 2002 held in Targu Mures, Romania and a silver medal at the 44th International Mathematical Olympiad of 2003 held in Tokyo, Japan.


Mathematics Competition Mathematics Olympiad Number Theory Problem-Solving

Authors and affiliations

  • Michael Th. Rassias
    • 1
  1. 1., Department of Pure Mathematics and MatheUniversity of CambridgeCambridgeUnited Kingdom

Bibliographic information