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Proofs that Really Count

Download or Read eBook Proofs that Really Count PDF written by Arthur T. Benjamin and published by American Mathematical Society. This book was released on 2022-09-21 with total page 210 pages. Available in PDF, EPUB and Kindle.
Proofs that Really Count
Author :
Publisher : American Mathematical Society
Total Pages : 210
Release :
ISBN-10 : 9781470472597
ISBN-13 : 1470472597
Rating : 4/5 (97 Downloads)

Book Synopsis Proofs that Really Count by : Arthur T. Benjamin

Book excerpt: 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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