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Combinatorics

 (Google eBook)
Front Cover
1 Review
John Wiley & Sons, Sep 24, 2003 - Mathematics - 576 pages
A mathematical gem–freshly cleaned and polished

This book is intended to be used as the text for a first course in combinatorics. the text has been shaped by two goals, namely, to make complex mathematics accessible to students with a wide range of abilities, interests, and motivations; and to create a pedagogical tool, useful to the broad spectrum of instructors who bring a variety of perspectives and expectations to such a course.

Features retained from the first edition:

  • Lively and engaging writing style
  • Timely and appropriate examples
  • Numerous well-chosen exercises
  • Flexible modular format
  • Optional sections and appendices

Highlights of Second Edition enhancements:

  • Smoothed and polished exposition, with a sharpened focus on key ideas
  • Expanded discussion of linear codes
  • New optional section on algorithms
  • Greatly expanded hints and answers section
  • Many new exercises and examples
  

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Contents

Chapter 1 The Mathematics of Choice
1
Chapter 2 The Combinatorics of Finite Functions
117
Chapter 3 Pólyas Theory of Enumeration
175
Chapter 4 Generating Functions
253
Chapter 5 Enumeration in Graphs
337
Chapter 6 Codes and Designs
421
Appendix A1 Symmetric Polynomials
477
Appendix A2 Sorting Algorithms
485
Appendix A3 Matrix Theory
495
Bibliography
501
Hints and Answers to Selected OddNumbered Exercises
503
Index of Notation
541
Index
547
Copyright

Common terms and phrases

Popular passages

Page xii - It seems that mathematical ideas are arranged somehow in strata, the ideas in each stratum being linked by a complex of relations both among themselves and with those above and below. The lower the stratum, the deeper (and in general the more difficult) the idea. Thus the idea of an "irrational" is deeper than that of an integer; and Pythagoras's theorem is, for that reason, deeper than Euclid's.

References to this book

From other books

Multilinear algebra
Multilinear algebra

Limited preview - 1997

From Google Scholar

The p-Stirling Numbers
Russell Merris - 2000 - Turk J Math
Evaluating Determinants of Two Classes of Special Matrices
Shujun Li - 2005 - Arxiv preprint math.NT/0509350
Quantum Statistical Field Theory and Combinatorics
John Gough - 2003 - Arxiv preprint quant-ph/0311161
All Scholar search results »

References from web pages

"Frontmatter". In: Combinatorics (Second Edition)
Chapter 2 The Combinatorics of Finite Functions ... This book is intended to be used as the text for a course in combinatorics at the level ...
doi.wiley.com/ 10.1002/ 0471449687.fmatter

A Course in Combinatorics, 1st Edition | Free ebooks Download!
Download Free ebook:A Course in Combinatorics, 1st Edition - Free chm, pdf ebooks rapidshare download, ebook torrents bittorrent download.
www.ebookee.com/ A-Course-in-Combinatorics-1st-Edition_119793.html

Combinatorics Libri - Webster.it
(Continua). A Path to Combinatorics for Undergraduates: Counting Strategies ... Asymptotic Combinatorics with Applications to Mathematical Physics ...
www.webster.it/ read_books_usa-combinatorics-MAT03600-p_3.htm

Split graphs
7 Vesselin Gasharov, The Erdős-Gallai criterion and symmetric functions, European Journal of Combinatorics, v.18 n.3, p.287-294, April 1997 ...
portal.acm.org/ citation.cfm?id=782402

Stephen
DMTCS Proceedings, 2005 European Conference on Combinatorics, Graph Theory and Applications (eurocomb '05). Home · About · Login · Register · Search ...
www.dmtcs.org/ dmtcs-ojs/ index.php/ proceedings/ article/ view/ dmAE0137/ 1061

Combinatorics by Russell Merris - 免费电子图书下载!
下载Free ebook:Combinatorics by Russell Merris - 免费下载chm, pdf 电子书,rapidshare 等下载链接, ebook torrents,电子书bt种子下载.
www.ebookee.com.cn/ Combinatorics_80144.html

Ordering trees by algebraic connectivity
Graphs and Combinatorics 6, 229-237 (1990). Graphs and. Combinatorics. © Springer-Verlag 1990. Ordering Trees by Algebraic Connectivity* ...
www.springerlink.com/ index/ HN6R16JU21457365.pdf

Combinatorics - Boek - BESLIST.nl
Bekijk en vergelijk informatie, beoordelingen, vragen & antwoorden en de beste winkels voor 'Combinatorics' op BESLIST.nl ▪ Boeken Engels ▪ specificaties, ...
boeken_engels.beslist.nl/ boeken_engels/ d0000153158/ Combinatorics.html

NA Digest, V. 03, # 38
Russell Merris, Combinatorics, Second Edition, Wiley-Interscience, 2003 ISBN 0-471-26296-X ... Chapter Two: The Combinatorics of Finite Functions ...
www.netlib.org/ netlib/ na-digest-html/ 03/ v03n38.html

洋書 - Pure Mathematics - Combinatorics
Algorithmic Combinatorics on Partial Words (Discrete Mathematics and Its ... Algebraic Combinatorics: Lectures at a Summer School In Nordfjordeid, Norway, ...
mathematics.web.infoseek.co.jp/ book/ 99399011.html

About the author (2003)

RUSSELL MERRIS, PhD, is Professor of Mathematics and Computer Science at California State University, Hayward. Among his other books is Graph Theory, also published by Wiley.

Bibliographic information