Proofs That Really Count

Proofs That Really Count The Art of Combinatorial Proof - Dolciani Mathematical Expositions

Hardback (30 Dec 2003) | English

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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.

Book information

ISBN: 9780883853337
Publisher: The Mathematical Association of America
Imprint: Mathematical Association of America
Pub date:
DEWEY: 511.62
DEWEY edition: 22
Language: English
Number of pages: 194
Weight: 518g
Height: 177mm
Width: 253mm
Spine width: 17mm