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

Anderson, Ian

ISBN 10: 0198596731 / ISBN 13: 9780198596738

Editore: Clarendon Press, 1989

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Titolo: A First Course in Combinatorial Mathematics ...

Casa editrice: Clarendon Press

Data di pubblicazione: 1989

Legatura: Paperback

Condizione: new

Edizione: seconda edizione

Descrizione articolo

Riassunto:

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.

Recensione:

' ...excellent introductory text...' Times Higher Education Supplement

'..happy introduction for many people...' Computer Journal