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Proofs That Really Count The Art Of Combinatorial Proof Arthur T Benjamin

SKU: BELL-50368420

$ 31.00 ~~$ 45.00~~ (-31%)

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Proofs That Really Count The Art Of Combinatorial Proof Arthur T Benjamin instant download after payment.

Publisher: American Mathematical Soc.

File Extension: PDF

File size: 2.48 MB

Pages: 194

Author: Arthur T. Benjamin, Jennifer J. Quinn

ISBN: 9780883853337, 0883853337

Language: English

Year: 2003

Product desciption

Proofs That Really Count The Art Of Combinatorial Proof Arthur T Benjamin by Arthur T. Benjamin, Jennifer J. Quinn 9780883853337, 0883853337 instant download after payment.

Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2006! 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.