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Imo Problems, Theorems, and Methods: Number Theory

Name: Imo Problems, Theorems, and Methods: Number Theory
Brand: World Scientific Publishing Company
SKU: 46926231
Price: 24149 HUF
Availability: InStock
Author: Gengyu Zhang
ISBN: 9789819803330

Gengyu Zhang

Language

English

Book Hardback

Libristo code: 46926231

Publishers World Scientific Publishing Company, April 2025

The problems in the International Mathematical Olympiad (IMO) are not only novel and interesting but... Full description

Libristo code: 46926231

160 b

24 149 Ft

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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.