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

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

Paperback

By (author) Pablo Soberón

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  • Publisher: Springer Basel
  • Format: Paperback | 174 pages
  • Dimensions: 166mm x 230mm x 12mm | 320g
  • Publication date: 5 April 2013
  • ISBN 10: 3034805969
  • ISBN 13: 9783034805964
  • Edition statement: 2013 ed.
  • Illustrations note: 55 black & white illustrations, 10 colour illustrations, biography
  • Sales rank: 988,365

Product description

Every year there is at least one combinatorics problem in each of the major international mathematical olympiads. These problems can only be solved with a very high level of wit and creativity. This book explains all the problem-solving techniques necessary to tackle these problems, with clear examples from recent contests. It also includes a 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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Author information

Pablo Soberon (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.

Review quote

From the reviews: "Soberon (Univ. College London, UK) presents tools, techniques, and some tricks to tackle problems of varying difficulty in combinatorial mathematics in this well-written book. ... Salient features include the wealth of examples, exercises, and problems and two additional chapters with hints and solutions to the problems. Valuable for all readers interested in combinatorics and useful as a course resource on the subject. Summing Up: Highly recommended. Upper-division undergraduate through professional mathematics collections." (D. V. Chopra, Choice, Vol. 51 (4), December, 2013)

Back cover copy

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."

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.