Cover image for Problem-Solving Methods in Combinatorics An Approach to Olympiad Problems
Problem-Solving Methods in Combinatorics An Approach to Olympiad Problems
Title:
Problem-Solving Methods in Combinatorics An Approach to Olympiad Problems
ISBN:
9783034805971
Personal Author:
Edition:
1st ed. 2013.
Publication Information New:
Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Physical Description:
IX, 174 p. 65 illus., 10 illus. in color. online resource.
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.
Abstract:
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.
Subject Term:
Added Corporate Author:
Language:
English