Proofs that really count : the art of combinatorial proof
By: Benjamin, Arthur.
Contributor(s): Quinn, Jennifer J.
Material type:
BookSeries: The Dolciani Mathematical Expositions 27. Publisher: Washington, DC : Mathematical Association of America, 2003Description: xiv, 194 p. : ill. ; hb 10x7.5.ISBN: 0883853337.Subject(s): Combinatorial enumeration problemsDDC classification: 511/.62 Summary: 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.
| Item type | Current location | Collection | Call number | Status | Date due | Barcode | Item holds |
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Mathematics | Book | 511.62/Ben/Qui (Browse shelf) | Available | 24710 |
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| 511.6/Tuc Applied Combinatorics | 511.6076/ Lov Combinatorial Problems And Exercises | 511.62/Aig A Course In Enumeration | 511.62/Ben/Qui Proofs that really count : | 511.66/Tik/She Stories About Maxima And Minima | 511.8071 Nis/Blu The learning and teaching of mathematical modelling / | 512.5/Had Linear algebra |
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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