Fr. 104.00

Problem-Solving Methods in Combinatorics - An approach to olympiad problems

English · Paperback / Softback

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Description

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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.

List 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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From the reviews:
"Soberón (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)

Product details

Authors Pablo Soberón
Publisher Springer, Basel
 
Languages English
Product format Paperback / Softback
Released 05.04.2013
 
EAN 9783034805964
ISBN 978-3-0-3480596-4
No. of pages 174
Dimensions 169 mm x 12 mm x 243 mm
Weight 330 g
Illustrations IX, 174 p. 65 illus., 10 illus. in color.
Subjects Natural sciences, medicine, IT, technology > Mathematics > Miscellaneous

B, Combinatorics, Mathematics and Statistics, Discrete Mathematics, Partitions, pigeonhole principle

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