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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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
Recensione
' ...excellent introductory text...' Times Higher Education Supplement
'..happy introduction for many people...' Computer Journal
Contenuti
Introduction to basic ideas; Selections and binomial coefficients; Pairing problems; Recurrence; The inclusion-exclusion principle; Block designs and error-correcting codes; Steiner systems, sphere packings, and the Golay code; Solutions to exercises; Bibliography; Index
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
- EditoreOxford University Press
- Data di pubblicazione1990
- ISBN 10 0198596731
- ISBN 13 9780198596738
- RilegaturaCopertina flessibile
- LinguaInglese
- Numero edizione2
- Numero di pagine144
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A First Course in Combinatorial Mathematics
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Softcover. Condizione: Good. Former academic library book, with library bookplate to front pastedown; ink stamps to endpapers, including withdrawn stamp. All pages unmarked and uncreased. In good shape overall. Publisher's note: This introduction to the basic combinatorial tools, such as recurrence relations, generating functions, incidence matrices and the inclusion-exclusion principle, has been designed to give readers a flavour of the distinctive characteristics of this branch of mathematics. Size: 21.6 x 14 x 0.9 cm. x, 134 pp. Shipped Weight: Under 500 grams. Category: Mathematics; Combinatorial analysis; ISBN: 0198596731. ISBN/EAN: 9780198596738. Add. Inventory No: 250322CT5021. Codice articolo 250322CT5021
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A First Course in Combinatorial Mathematics (Oxford Applied Mathematics and Computing Science Series)
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ISBN 10: 0198596731
ISBN 13: 9780198596738
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Paperback. Condizione: Very Good. 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. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Codice articolo GOR001920877
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A First Course in Combinatorial Mathematics (Oxford Applied Mathematics and Computing Science Series)
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ISBN 13: 9780198596738
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