14 edition of **Proofs that really count** found in the catalog.

- 43 Want to read
- 11 Currently reading

Published
**2003**
by Mathematical Association of America in [Washington, DC]
.

Written in

- Combinatorial enumeration problems

**Edition Notes**

Includes bibliographical references (p. 187-190) and index.

Statement | Arthur T. Benjamin and Jennifer J. Quinn. |

Series | Dolciani mathematical expositions ;, no. 27 |

Contributions | Quinn, Jennifer J. |

Classifications | |
---|---|

LC Classifications | QA164.8 .B46 2003 |

The Physical Object | |

Pagination | xiv, 194 p. : |

Number of Pages | 194 |

ID Numbers | |

Open Library | OL3697525M |

ISBN 10 | 0883853337 |

LC Control Number | 2003108524 |

Proofs that Really Count 作者: Arthur T. Benjamin / Jennifer Quinn 出版社: The Mathematical Association of America 副标题: The Art of Combinatorial Proof 出版年: 页数: 定价: USD 装帧: Hardcover ISBN: In their book, Proofs that Really Count: The Art of Combinatorial Proof, A. T. Benjamin and J. J. Quinn present combinatorial interpretations of these sequences and prove hundreds of identities using only direct counting. In the entire book they use just two methods: de ning a set and counting the quantity in two di erent ways.

procedure is that by looking for small proofs, we can force an SMT solver to synthesize nontrivial counting arguments. For example, we can force an SMT solver to “discover” the need to count the number of t++ statements in excess of s++ statements in the proof above completely automatically, simply by asking for a proof with 2 states. This category includes articles on basic topics related to mathematical proofs, including terminology and proof techniques.. Related categories: Pages which contain only proofs (of claims made in other articles) should be placed in the subcategory Category:Article proofs.; Pages which contain theorems and their proofs should be placed in the subcategory Category:Articles containing proofs.

Proofs that Really Count: The Art of Combinatorial Proof, by Arthur T. Benjamin and Jennifer J. Quinn. Dolciani Mathematical Exposition #27, Mathematical Association of America, , pp., ISBN ––7. Reviewed by Peter G. Anderson Rochester Institute of . Proofs without words are generally pictures or diagrams that help the reader see why a particular mathematical statement may be true, and how one could begin to go about proving it. While in some proofs without words an equation or two may appear to help guide that process, the emphasis is clearly on providing visual clues to stimulate mathematical thought/5(4).

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The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and. The book emphasizes 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.4/5.

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There are two types of examples in the book: in the first kind they count the elements of a set in two different ways, and then obtain an identity by setting the answers equal. Book Title:Proofs that Really Count: The Art of Combinatorial Proof (Dolciani Mathematical Expositions) Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools.

Book Overview 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.

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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.

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By Arthur T. Benjamin and Jennifer J. Quinn. Mathematical Associa-tion of America, Washington, DC, ISBN To a combinatorialist some of the most pleas-ing proofs use the following standard technique.

Construct a nite set and count its elements in two very di erent Size: 62KB. 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.

ISBN: OCLC Number: Description: xiv, pages: illustrations ; 26 cm: Contents: Fibonacci identities --Gibonacci and Lucas identities --Linear recurrences --Continued fractions --Binomial identities --Alternating sign binomial identities --Harmonic and stirling number identities --Number theory --Advanced Fibonacci & Lucas identities.

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 Cited by: 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 /5(28).

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