A First Course in Combinatorial Mathematics (Oxford Applied Mathematics and Computing Science Series) - Softcover

Anderson, Ian

Softcover

ISBN 10: 0198596731 ISBN 13: 9780198596738

Publisher: Oxford University Press, 1990

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.

About this title

From the Back Cover

The Spirit and aim of this textbook is to present a concise 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.

Edition details

• Publisher: Oxford University Press
• Publication date: 1990
• Language: English
• ISBN 10: 0198596731
• ISBN 13: 9780198596738
• Binding: Paperback
• Edition number: 2
• Number of pages: 144