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Problem-Solving Methods in Combinatorics: An Approach to Olympiad Problems

Every year there is at least one combinatorics problem in each of the major international mathematical olympiads. These problems can only be solvedwith a very high level of wit and creativity. This book explains all the problem-solving techniques necessary to tacklethese problems, with clear examples from recent contests. It also includesa large problem section for each topic, including hints and full solutions so that the reader can practice the material covered in the book.​ The material will be useful not only to participants in the olympiads and their coaches but also in university courses on combinatorics.

1114778339
Problem-Solving Methods in Combinatorics: An Approach to Olympiad Problems

Every year there is at least one combinatorics problem in each of the major international mathematical olympiads. These problems can only be solvedwith a very high level of wit and creativity. This book explains all the problem-solving techniques necessary to tacklethese problems, with clear examples from recent contests. It also includesa large problem section for each topic, including hints and full solutions so that the reader can practice the material covered in the book.​ The material will be useful not only to participants in the olympiads and their coaches but also in university courses on combinatorics.

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Problem-Solving Methods in Combinatorics: An Approach to Olympiad Problems

Problem-Solving Methods in Combinatorics: An Approach to Olympiad Problems

by Pablo Soberon
Problem-Solving Methods in Combinatorics: An Approach to Olympiad Problems

Problem-Solving Methods in Combinatorics: An Approach to Olympiad Problems

by Pablo Soberon

Overview

Every year there is at least one combinatorics problem in each of the major international mathematical olympiads. These problems can only be solvedwith a very high level of wit and creativity. This book explains all the problem-solving techniques necessary to tacklethese problems, with clear examples from recent contests. It also includesa large problem section for each topic, including hints and full solutions so that the reader can practice the material covered in the book.​ The material will be useful not only to participants in the olympiads and their coaches but also in university courses on combinatorics.

Product Details

ISBN-13: 9783034805964
Publisher: Springer Basel
Publication date: 04/30/2013
Edition description: 2013
Pages: 174
Product dimensions: 6.60(w) x 9.40(h) x 0.60(d)

About the Author

Pablo Soberón (born 1988) is the first Mexican to obtain a gold medal in the International Mathematical Olympiad. After participating in mathematical olympiads, he has also trained Mexican teams for various international mathematical contests. He currently does research in discrete geometry at University College London and enjoys olympiad problem-solving in his free time.

Table of Contents

Introduction.- 1 First concepts.- 2 The pigeonhole principle.- 3 Invariants.- 4 Graph theory.- 5 Functions.- 6 Generating Functions.- 7 Partitions.- 8 Hints for the problems.- 9 Solutions to the problems.- Notation.- Further reading.- Index. ​

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