Imo Problems, Theorems, And Methods: Combinatorics - Couverture souple

Livre 28 sur 29: Mathematical Olympiad

Xu, Guangyu; Qu, Zhenhua

 
9789819806911: Imo Problems, Theorems, And Methods: Combinatorics

Synopsis

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 combinatorics volume, the IMO combinatorics problems are organized into six chapters: "Enumerative Combinatorics Problems," "Existence Problems," "Extremal Combinatorial Problems," "Operation and Logical Reasoning Problems," "Combinatorial Geometry Problems," and "Graph Theory Problems." 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 combinatorics problems, facilitating further study and convenient reference. This series is suitable for researchers in mathematical competitions, mathematics educators, and contestants.

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Autres éditions populaires du même titre

9789819803361: Imo Problems, Theorems, And Methods: Combinatorics

Edition présentée

ISBN 10 :  9819803365 ISBN 13 :  9789819803361
Editeur : WSPC/ECNUP, 2025
Couverture rigide