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Editorial Reviews
Review
'This book is written in an engaging, conversational style, and this reviewer found it enjoyable to read through (besides learning a few new things). Along the way, there are a few surprises, like the 'world's fastest proof by induction' and a magic trick. As a resource for teaching, and a handy basic reference, it will be a great addition to the library of anyone who uses combinatorial identities in their work.' Society for Industrial and Applied Mathematics Review
... a delightful book. The authors have put together their combinatorial insights in a fascinating package that is appealing and accessible. -- George Andrews, Penn State University
... blends the talents of Martin Gardner and Houdini. Gives magical `aha' proofs that are real mathematics but accessible to everyone -- Persi Diaconis, Stanford University
It is a masterpiece! Benjamin and Quinn did a masterful job of making proofs accessible, and fun -- Doron Zeilberger, Rutgers University
... a delightful book. The authors have put together their combinatorial insights in a fascinating package that is appealing and accessible. -- George Andrews, Penn State University
... blends the talents of Martin Gardner and Houdini. Gives magical `aha' proofs that are real mathematics but accessible to everyone -- Persi Diaconis, Stanford University
It is a masterpiece! Benjamin and Quinn did a masterful job of making proofs accessible, and fun -- Doron Zeilberger, Rutgers University
Review
'This book is written in an engaging, conversational style, and this reviewer found it enjoyable to read through (besides learning a few new things). Along the way, there are a few surprises, like the 'world's fastest proof by induction' and a magic trick. As a resource for teaching, and a handy basic reference, it will be a great addition to the library of anyone who uses combinatorial identities in their work.' Society for Industrial and Applied Mathematics Review
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Inside This Book
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First Sentence:
Definition The Fibonacci numbers are defined by F0 = 0, F1 = 1, and for n 2, Fn = Fn-1 + Fn-2. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
phased domino, tiling pair, domino covering cells, phased square, phased tiling, colored tilings, breakable cell, tail swapping, initial domino, colored domino, domino beginning, many tilings, initial tile, ideal initial conditions, binomial coefficient identities, colored bracelets, last domino, last fault, such tilings, next identity, random tiling, coloring rules, many phased, right cycle, last tile Key Phrases - Capitalized Phrases (CAPs): (learn more)
Combinatorial Theorem, Exercises Prove, Other Exercises New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Definition The Fibonacci numbers are defined by F0 = 0, F1 = 1, and for n 2, Fn = Fn-1 + Fn-2. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
phased domino, tiling pair, domino covering cells, phased square, phased tiling, colored tilings, breakable cell, tail swapping, initial domino, colored domino, domino beginning, many tilings, initial tile, ideal initial conditions, binomial coefficient identities, colored bracelets, last domino, last fault, such tilings, next identity, random tiling, coloring rules, many phased, right cycle, last tile Key Phrases - Capitalized Phrases (CAPs): (learn more)
Combinatorial Theorem, Exercises Prove, Other Exercises New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 34
books:
See all 34 books this book cites
1
book
cites this book:
- Enumerative Combinatorics, Volume 2 by Richard P. Stanley in Front Matter, page 13, and Back Matter
- Constructive Combinatorics (Undergraduate Texts in Mathematics) by Dennis Stanton in Front Matter, page 89, and Back Matter
- Combinatorial Identities by John Riordan on page 77, and Back Matter
- History of the Theory of Numbers (AMS Chelsea Publishing) Volumes I; II; III. THREE VOLUME SET (Vol. 2) by Leonard Eugene Dickson on page 123, and Back Matter
- Excursions in Calculus: An Interplay of the Continuous and the Discrete (Dolciani Mathematical Expositions) by Robert M. Young in Front Matter, and Back Matter
See all 34 books this book cites
- Mathematical Adventures for Students and Amateurs (Spectrum) by David F. Hayes in Back Matter (1), and Back Matter (2)
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47% buy Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks $8.97 |
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43% buy the item featured on this page: Proofs that Really Count: The Art of Combinatorial Proof (Dolciani Mathematical Expositions) $54.95 |
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4% buy Short-Cut Math $3.95 |
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3% buy Mathematics of Choice: Or, How to Count Without Counting (New Mathematical Library) $29.20 |
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