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Encyclopedia of Mathematics and its Applications : Combinatorial Methods in Discrete Mathematics Series Number 55 - Vladimir N. Sachkov

Encyclopedia of Mathematics and its Applications

Combinatorial Methods in Discrete Mathematics Series Number 55

Paperback Published: 2nd June 2011
ISBN: 9780521172769
Number Of Pages: 322

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Discrete mathematics is an important tool for the investigation of various models of functioning of technical devices, especially in the field of cybernetics. Here the author presents some complex problems of discrete mathematics in a simple and unified form using an original, general combinatorial scheme. Professor Sachkov's aim is to focus attention on results that illustrate the methods described. A distinctive aspect of the book is the large number of asymptotic formulae derived. Professor Sachkov begins with a discussion of block designs and Latin squares before proceeding to treat transversals, devoting much attention to enumerative problems. The main role in these problems is played by generating functions, considered in Chapter 4. The general combinatorial scheme is then introduced and in the last chapter Polya's enumerative theory is discussed. This is an important book for graduate students and professionals that describes many ideas not previously available in English; the author has updated the text and references where appropriate.

Review of the hardback: ' ... a very enjoyable and brisk introduction to the exciting fields of enumerative and probabilistic combinatorics'. B. Bollobas, Bulletin of the London Mathematical Society
Review of the hardback: ' ... for the serious student of generating functions and asymptotic techniques it provides an account of the work of Kolchin (who did the translation), the author and others which is not otherwise readily available in English.' I. Anderson, Bulletin of the Edinburgh Mathematical Society
"...a clear introduction to enumerative combinatorics, with considerable material on asymptotic formulae and some applications." R.J. Bumcrot, Mathematical Reviews

Preface
Preface to the English edition
Introduction
Combinatorial configurations
Transversals and permanents
Generating functions
Graphs and mappings
The general combinatorial scheme
Polya's theorem and its applications
Bibliography
Index
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521172769
ISBN-10: 0521172764
Series: Encyclopedia of Mathematics and Its Applications
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 322
Published: 2nd June 2011
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 23.4 x 15.6  x 1.7
Weight (kg): 0.45

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