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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: 46926276
Price: 26.19 EUR
Availability: InStock
Author: Gengyu Zhang
ISBN: 9789819806904

Gengyu Zhang

Lingua

Inglese

Libro In brossura

Codice Libristo: 46926276

Casa editrice World Scientific Publishing Company, aprile 2025

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

Codice Libristo: 46926276

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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.