Dolciani Mathematical Expositions Ser.: Proofs That Really Count : The Art of Combinatorial Proof by Arthur T. Benjamin and Jennifer J. Quinn (2003, Hardcover)

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About this product

Product Identifiers

PublisherAmerican Mathematical Society
ISBN-100883853337
ISBN-139780883853337
eBay Product ID (ePID)5969992

Product Key Features

Number of Pages194 Pages
LanguageEnglish
Publication NameProofs That Really Count : the Art of Combinatorial Proof
SubjectCombinatorics, Logic
Publication Year2003
TypeTextbook
Subject AreaMathematics
AuthorArthur T. Benjamin, Jennifer J. Quinn
SeriesDolciani Mathematical Expositions Ser.
FormatHardcover

Dimensions

Item Height0.6 in
Item Weight20.2 Oz
Item Length9 in
Item Width6 in

Additional Product Features

Intended AudienceScholarly & Professional
LCCN2003-108524
Reviews'This book is written in an engaging, conversational style, and this reviewer found it enjoyable to read through (besides learning a few new things). Along the way, there are a few surprises, like the 'world's fastest proof by induction' and a magic trick. As a resource for teaching, and a handy basic reference, it will be a great addition to the library of anyone who uses combinatorial identities in their work.' Society for Industrial and Applied Mathematics Review, This book is written in an engaging, conversational style, and this reviewer found it enjoyable to read through (besides learning a few new things). Along the way, there are a few surprises, like the 'world's fastest proof by induction' and a magic trick. As a resource for teaching, and a handy basic reference, it will be a great addition to the library of anyone who uses combinatorial identities in their work."" - Society for Industrial and Applied Mathematics Review
Dewey Edition22
Series Volume Number27
IllustratedYes
Dewey Decimal511/.62
Table Of ContentForeword 1. Fibonacci Identities 2. Gibonacci and Lucas Identities 3. Linear Recurrences 4. Continued Fractions 5. Binomial Identities 6. Alternating Sign Binomial Identities 7. Harmonic and Stirling Number Identities 8. Number Theory 9. Advanced Fibonacci & Lucas Identities Some Hints and Solutions for Chapter Exercises Appendix of Combinatorial Theorems Appendix of Identities Bibliography Index About the Authors
SynopsisMathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments., Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.
LC Classification NumberQA164.8 .B46 2003
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