Proofs that Really Count
The Art of Combinatorial Proof
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Proofs that Really Count by Arthur T. Benjamin
Book DescriptionMathematics 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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Book DetailsISBN: 9780883853337
(177mm x 253mm x 17mm)
Imprint: Mathematical Association of America
Publisher: Mathematical Association of America
Publish Date: 13-Nov-2003
Country of Publication: United States
Books By Author Arthur T. Benjamin
Biscuits of Number Theory, Hardback (March 2009)» View all books by Arthur T. Benjamin
An anthology of articles ideal for use as a textbook supplement on a number theory course.
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