Proofs That Really Count: The Art of Combinatorial Proof

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Proofs That Really Count: The Art of Combinatorial Proof

Name: Proofs That Really Count: The Art of Combinatorial Proof
ISBN: 9781614442080

Arthur T. Benjamin, Jennifer J. Quinn

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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.

Categorie:

Mathematics

Anno:

2003

Edizione:

Casa editrice:

MAA Press / AMS

Lingua:

english

ISBN 10:

1614442088

ISBN 13: