A first course in combinatorial mathematics

Author: Ian Anderson (Ph. D.)

Publisher: Oxford University Press, USA

ISBN: 9780198596745

Category: Mathematics

Page: 134

View: 7254

Now in a new second edition, this volume presents a clear and concise treatment of an increasingly important branch of mathematics. A unique introductory survey complete with easy-to-understand examples and sample problems, this text includes information on such basic combinatorial tools as recurrence relations, generating functions, incidence matrices, and the non-exclusion principle. It also provides a study of block designs, Steiner triple systems, and expanded coverage of the marriage theorem, as well as a unified account of three important constructions which are significant in coding theory.
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A First Course in Combinatorial Mathematics

Author: Ian Anderson

Publisher: Oxford University Press

ISBN: 9780198596738

Category: Science

Page: 134

View: 5645

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.
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A Course in Group Theory

Author: J. F. Humphreys

Publisher: Oxford University Press on Demand

ISBN: 9780198534594

Category: Business & Economics

Page: 279

View: 4618

Each chapter ends with a summary of the material covered and notes on the history and development of group theory.
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Combinatorics: A Very Short Introduction

Author: Robin Wilson

Publisher: Oxford University Press

ISBN: 0191035254

Category: Mathematics

Page: 144

View: 4223

How many possible sudoku puzzles are there? In the lottery, what is the chance that two winning balls have consecutive numbers? Who invented Pascal's triangle? (it was not Pascal) Combinatorics, the branch of mathematics concerned with selecting, arranging, and listing or counting collections of objects, works to answer all these questions. Dating back some 3000 years, and initially consisting mainly of the study of permutations and combinations, its scope has broadened to include topics such as graph theory, partitions of numbers, block designs, design of codes, and latin squares. In this Very Short Introduction Robin Wilson gives an overview of the field and its applications in mathematics and computer theory, considering problems from the shortest routes covering certain stops to the minimum number of colours needed to colour a map with different colours for neighbouring countries. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.
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Finite Element and Boundary Element Applications in Quantum Mechanics

Author: L. Ramdas Ram-Mohan

Publisher: Oxford University Press on Demand

ISBN: 9780198525226

Category: Mathematics

Page: 605

View: 789

'... well structured and remarkably comprehensive...' John Pask, Lawrence Livermore National Laboratory, CA'... an excellent textbook to introduce FEM and BEM to students...' Shun-Lien Chua ng, University of Illinois at Urbana-Champaign'... opens new ground for physicists, particularly those interested in condensed matter physics and chemistry...' A.K. Rajagopal, Naval Research Laboratory, Washington D.C.Starting from a clear, concise introduction, the powerful finite element and boundary element methods of engineering are developed for application to quantum mechanics. The reader is led through illustrative examples displaying the strengths of these methods using applications to fundamental quantum mechanical problems and to the design/simulation of quantum nanoscale devices.
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British Book News

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Best books

Page: N.A

View: 8408

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Eureka

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 3449

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Bulletin

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 2990

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Monographic Series

Author: Library of Congress

Publisher: N.A

ISBN: N.A

Category: Monographic series

Page: N.A

View: 8555

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Subject Guide to Books in Print

An Index to the Publishers' Trade List Annual

Author: N.A

Publisher: N.A

ISBN: N.A

Category: American literature

Page: N.A

View: 2710

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The Mathematical Gazette

The Journal of the Mathematical Association

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: N.A

View: 3656

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Publication of the Association of College and Research Libraries, a Division of the American Library Association

Author: N.A

Publisher: N.A

ISBN: N.A

Category: Academic libraries

Page: N.A

View: 5408

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American Book Publishing Record Cumulative, 1970-1974

Author: Bowker Editorial Staff

Publisher: N.A

ISBN: 9780835209113

Category:

Page: 6500

View: 4532

Here's quick access to more than 490,000 titles published from 1970 to 1984 arranged in Dewey sequence with sections for Adult and Juvenile Fiction. Author and Title indexes are included, and a Subject Guide correlates primary subjects with Dewey and LC classification numbers. These cumulative records are available in three separate sets.
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Books in Series

Author: N.A

Publisher: N.A

ISBN: 9780835221092

Category: Monographic series

Page: 1756

View: 2062

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Combinatorics on Words

Author: M. Lothaire

Publisher: Cambridge University Press

ISBN: 9780521599245

Category: Mathematics

Page: 238

View: 5309

This classic volume presents a thorough treatment of the theory of combinatorics on words.
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