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  Proofs that Really Count: The Art of Combinatorial Proof (Dolciani Mathematical Expositions) (Hardback) By (author) Arthur T. Benjamin, By (author) Jennifer J. Quinn

  

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  Short Description for Proofs that Really CountDemonstration of the use of simple counting arguments to describe number patterns; numerous hints and references.
  Full description

  • Publisher: Mathematical Association of America
  • Published: 13 November 2003
  • Format: Hardback 208 pages
  • See: Full bibliographic data
  • Categories: Mathematics | Mathematical Foundations | Mathematical Logic | Discrete Mathematics | Number Theory | Combinatorics & Graph Theory
  • ISBN 13: 9780883853337 ISBN 10: 0883853337
  • Sales rank: 252,492

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Full description for Proofs that Really Count

• 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.