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Imo Problems, Theorems, and Methods: Geometry

Name: Imo Problems, Theorems, and Methods: Geometry
Brand: World Scientific Publishing Company
SKU: 46926275
Price: 51.26 EUR
Availability: InStock
Author: Bin Xiong
ISBN: 9789819806898

Bin Xiong

Xinyuan Yang

Langue

Anglais

Livre Livre de poche

Code Libristo: 46926275

Éditeurs World Scientific Publishing Company, avril 2025

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

Code Libristo: 46926275

124 b

51.26 €

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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 geometry volume, the IMO geometry problems are organized into seven chapters: "Similarity and Congruence," "Basic Properties of Circles and Four Points on a Circle," "Power of a Point, Radical Axis, and Radical Center," "Special Points and Special Lines in a Triangle," "Trigonometry, Areas, and Analytic Geometry," "Solid Geometry," and "Geometric Inequalities." 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 geometry problems, facilitating further study and convenient reference. This series is suitable for researchers in mathematical competitions, mathematics educators, and contestants.