Imo Problems, Theorems, And Methods: Number Theory

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Bin Xiong (East China Normal University, China) Gengyu Zhang (East China Normal University, China)

Imo Problems, Theorems, And Methods

Number Theory

Bin Xiong (East China Normal University, China), Gengyu Zhang (East China Normal University, China)

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English

World Scientific Publishing Co Pte Ltd
15 September 2025

Number theory

Series: Mathematical Olympiad Series

Summary
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The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but also deeply rooted in profound mathematical context. The team at the International Mathematical Olympiad Research Center at East China Normal University has compiled and studied problems from past IMOs, dividing them into four volumes based on the mathematical fields involved: algebra, geometry, number theory, and combinatorics.

In the number theory volume, the IMO number theory problems are organized into three chapters: 'Divisibility of Integers,' 'Modular Arithmetic,' and 'Indeterminate Equations.' Each chapter begins with an introduction to the relevant foundational knowledge and methods, followed by a reclassification and reorganization of past IMO problems. Multiple elegant solutions are provided for some of the problems, along with a statistical analysis of their difficulty.

The book concludes with a record of past IMO participation and award information, as well as an index of number theory problems, facilitating further study and convenient reference. This series is suitable for researchers in mathematical competitions, mathematics educators, and contestants.

By: Bin Xiong (East China Normal University China), Gengyu Zhang (East China Normal University, China)
Imprint: World Scientific Publishing Co Pte Ltd
Country of Publication: Singapore
Volume: 28
ISBN: 9789819803330
ISBN 10: 9819803330
Series: Mathematical Olympiad Series
Pages: 204
Publication Date: 15 September 2025
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Forthcoming