104 Number Theory Problems

From the Training of the USA IMO Team

  • Titu Andreescu
  • Dorin Andrica
  • Zuming Feng

Table of contents

  1. Front Matter
    Pages i-xii
  2. Pages 75-82
  3. Pages 83-90
  4. Back Matter
    Pages 189-204

About this book


This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas, conjectures, and conclusions in writing. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

Key features:

* Contains problems developed for various mathematical contests, including the International Mathematical Olympiad (IMO)

* Builds a bridge between ordinary high school examples and exercises in number theory and more sophisticated, intricate and abstract concepts and problems

* Begins by familiarizing students with typical examples that illustrate central themes, followed by numerous carefully selected problems and extensive discussions of their solutions

* Combines unconventional and essay-type examples, exercises and problems, many presented in an original fashion

* Engages students in creative thinking and stimulates them to express their comprehension and mastery of the material beyond the classroom

104 Number Theory Problems is a valuable resource for advanced high school students, undergraduates, instructors, and mathematics coaches preparing to participate in mathematical contests and those contemplating future research in number theory and its related areas.


Area DEX Excel International Mathematical Olympiad Mathematica Problemlösungsprozess bridge mathematics number theory presentation techniques themes training

Authors and affiliations

  • Titu Andreescu
    • 1
  • Dorin Andrica
    • 2
  • Zuming Feng
    • 3
  1. 1.Department of Science/Mathematics EducationThe University of Texas at DallasRichardsonUSA
  2. 2.Faculty of Mathematics“Babeş-Bolyai” UniversityCluj-NapocaRomania
  3. 3.Department of MathematicsPhillips Exeter AcademyExeterUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-8176-4561-8
  • Copyright Information Birkhäuser Boston 2007
  • Publisher Name Birkhäuser Boston
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-0-8176-4527-4
  • Online ISBN 978-0-8176-4561-8
  • About this book