Proofs that Really Count: The Art of Combinatorial Proof

Arthur T. Benjamin, Jennifer J. Quinn

ISBN 10: 0883853337 ISBN 13: 9780883853337

Edit� par The Mathematical Association of America, 2003

Langue: anglais

Ancien(s) ou d'occasion Etat : Very good Couverture rigide

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Spine is tight. Bottom of spine is chipped. Spine edges are bumped. Inside is clean and unmarked.

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D�tails bibliographiques

Titre

Proofs that Really Count: The Art of Combinatorial Proof

�diteur

The Mathematical Association of America

Date de parution

2003

Langue

anglais

ISBN � 10 chiffres

0883853337

ISBN � 13 chiffres

9780883853337

Reliure

Hard cover

�tat de l'article

Very good

�tat de la jaquette

No jacket

Catalogues du vendeur

Mathematics

A propos de ce titre

Synopsis

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.

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