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Item Details
Title: A FIRST COURSE IN COMBINATORIAL MATHEMATICS
By: Ian Anderson
Format: Paperback

List price: £67.00
Our price: £67.00
ISBN 10: 0198596731
ISBN 13: 9780198596738
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Publisher: OXFORD UNIVERSITY PRESS
Pub. date: 4 May, 1989
Edition: 2nd Revised edition
Series: Oxford Applied Mathematics and Computing Science Series
Pages: 144
Description: The spirit and aim of this book is to present a compact introduction to the basic combinatorial tools - such as recurrence relations, generating functions, incidence matrices, and the inclusion-exclusion principle - that will give the reader a flavour of the distinctive characteristics of this attractive and increasingly important branch of mathematics.In this new edition, Steiner triple systems are constructed and S(5,8,24) is obtained via the Golay code of length 24; also included is an application of the marriage theorem to score sequences of tournaments.
Synopsis: The spirit and aim of this book is to present a compact introduction to the basic combinatorial tools - such as recurrence relations, generating functions, incidence matrices, and the inclusion-exclusion principle - that will give the reader a flavour of the distinctive characteristics of this attractive and increasingly important branch of mathematics. A studly of block designs is followed by a brief mention of applications to coding theory. In this new edition, Steiner triple systems are constructed and S(5,8,24) is obtained via the Golay code of length 24. The final chapter combines together the three combinatorial structures of the Leech lattice, the Golay codes, and Steiner systems. Also in this edition, an application of the marriage theorem to score sequences of tournaments has been included.
Illustrations: illustrations throughout
Publication: UK
Imprint: Clarendon Press
Returns: Returnable
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