Proofs that really count : the art of combinatorial proof
Material type: TextPublication details: Rhode Island MAA press 2003Description: 194 pISBN: 9789393330116Subject(s): Combinatorial enumeration problems | Combinatorial analysisDDC 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 library | Collection | Call number | Status | Date due | Barcode |
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BK | Stack | Stack | 511.62 BEN/P (Browse shelf (Opens below)) | Available | 59779 |
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511.6 BRU/I Introductory combinatorics | 511.6 BRU/I Introductory combinatorics | 511.6 LIN/C Course in combinatorics | 511.62 BEN/P Proofs that really count : the art of combinatorial proof | 511.7028542 MIS/C computer oriented numerical and statistical methods | 511.8 EDW/G Guide to mathematical modelling | 511.8 MAT Mathematics for economics |
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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