A First Course in Combinatorial Mathematics

Author: Ian Anderson

Publisher: Oxford University Press

ISBN: 9780198596738

Category: Science

Page: 134

View: 9093

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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.
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A first course in combinatorial mathematics

Author: Ian Anderson (Ph. D.)

Publisher: Oxford University Press, USA

ISBN: 9780198596745

Category: Mathematics

Page: 134

View: 5279

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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 Course in Group Theory

Author: J. F. Humphreys

Publisher: Oxford University Press on Demand

ISBN: 9780198534594

Category: Business & Economics

Page: 279

View: 4184

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Each chapter ends with a summary of the material covered and notes on the history and development of group theory.
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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: 9484

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'... 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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Introduction to Parallel Computing : A practical guide with examples in C

A practical guide with examples in C

Author: Wesley Petersen,Peter Arbenz

Publisher: OUP Oxford

ISBN: 9780191513619

Category: Computers

Page: 278

View: 2211

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In the last few years, courses on parallel computation have been developed and offered in many institutions in the UK, Europe and US as a recognition of the growing significance of this topic in mathematics and computer science. There is a clear need for texts that meet the needs of students and lecturers and this book, based on the author's lecture at ETH Zurich, is an ideal practical student guide to scientific computing on parallel computers working up from a hardware instruction level, to shared memory machines, and finally to distributed memory machines. Aimed at advanced undergraduate and graduate students in applied mathematics, computer science, and engineering, subjects covered include linear algebra, fast Fourier transform, and Monte-Carlo simulations, including examples in C and, in some cases, Fortran. This book is also ideal for practitioners and programmers.
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Geometric Mechanics and Symmetry

From Finite to Infinite Dimensions

Author: Darryl D. Holm,Tanya Schmah,Cristina Stoica

Publisher: Oxford University Press

ISBN: 0199212902

Category: Mathematics

Page: 515

View: 8777

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Geometric Mechanics and Symmetry is a friendly and fast-paced introduction to the geometric approach to classical mechanics, suitable for a one- or two- semester course for beginning graduate students or advanced undergraduates. It fills a gap between traditional classical mechanics texts and advanced modern mathematical treatments of the subject.The modern geometric approach illuminates and unifies manyseemingly disparate mechanical problems from several areas of science and engineering. In particular, the book concentrates on the similarities between finite-dimensional rigid body motion and infinite-dimensional systems such asfluid flow. The illustrations and examples, together with a large number of exercises, both solved and unsolved, make the book particularly useful.
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Reviews in graph theory

as printed in Mathematical reviews 1940-1978, volumes 1-56 inclusive

Author: William G. Brown

Publisher: N.A

ISBN: 9780821802106

Category: Mathematics

Page: 588

View: 4420

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