# The Moment of Proof: Mathematical Epiphanies

## Donald C. Benson

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When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying "eureka!" In The Moment of Proof, Donald Benson attempts to convey to general readers the feeling of eureka--the joy of discovery--that mathematicians feel when they first encounter an elegant proof.
This is not an introduction to mathematics so much as an introduction to the pleasures of mathematical thinking. And indeed the delights of this book are many and varied. The book is packed with intriguing conundrums--Loyd's Fifteen Puzzle, the Petersburg Paradox, the Chaos Game, the Monty Hall Problem, the Prisoners' Dilemma--as well as many mathematical curiosities. We learn how to perform the arithmetical proof called "casting out nines" and are introduced to Russian peasant multiplication, a bizarre way to multiply numbers that actually works. The book shows us how to calculate the number of ways a chef can combine ten or fewer spices to flavor his soup (1,024) and how many people we would have to gather in a room to have a 50-50 chance of two having the same birthday (23 people). But most important, Benson takes us step by step through these many mathematical wonders, so that we arrive at the solution much the way a working scientist would--and with much the same feeling of surprise.
Every fan of mathematical puzzles will be enthralled by The Moment of Proof. Indeed, anyone interested in mathematics or in scientific discovery in general will want to own this book.

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Review:

The world described by mathematics might seem strange and daunting, but it is our world nonetheless. If you've ever experienced the pleasure of a sudden flash of mathematical insight--even while balancing your checkbook--then you know how miraculous a few digits and an equal sign can become at just the right time. Mathematician Donald C. Benson is intimately familiar with this phenomenon, and he has written The Moment of Proof: Mathematical Epiphanies to remind us that math can be as much fun as mountain climbing (and, of course, just as challenging). Part textbook, part puzzle book, it rewards our hard work with a steady flow of wide-eyed moments of clarity as we see how simple and elegant even the most frightening problem can be.

Benson covers classic problems like the sliding-tile and birthday-matching puzzles, but also delves into abstractions: counting, sorting, and "interesting numbers" all jump into his spotlight. This is fascinating enough, but his explanations of Russian peasant math and the secrets of the abacus have just the right mix of concreteness and abstraction to please anyone but the terminally mathphobic. Benson does expect quite a bit from his readers; paper and pencil are essential for complete understanding. But with each new epiphany, each new glimpse into the workings of the world, the effort invested in The Moment of Proof is returned, with interest. --Rob Lightner

Donald C. Benson is Emeritus Professor of Mathematics at the University of California, Davis. He lives in Davis, California.

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## 1.The Moment of Proof

Editorial: Oxford University Press 2000-12 (2000)
ISBN 10: 0195139194 ISBN 13: 9780195139198
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Descripción Oxford University Press 2000-12, 2000. Estado de conservación: New. This item is printed on demand. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-LSI-06932169

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## 2.The Moment of Proof: Mathematical Epiphanies (Paperback)

Editorial: Oxford University Press Inc, United States (2000)
ISBN 10: 0195139194 ISBN 13: 9780195139198
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Descripción Oxford University Press Inc, United States, 2000. Paperback. Estado de conservación: New. Revised ed.. Language: English . Brand New Book ***** Print on Demand *****.When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying eureka! In The Moment of Proof, Donald Benson attempts to convey to general readers the feeling of eureka-the joy of discovery-that mathematicians feel when they first encounter an elegant proof. This is not an introduction to mathematics so much as an introduction to the pleasures of mathematical thinking. And indeed the delights of this book are many and varied. The book is packed with intriguing conundrums-Loyd s Fifteen Puzzle, the Petersburg Paradox, the Chaos Game, the Monty Hall Problem, the Prisoners Dilemma-as well as many mathematical curiosities. We learn how to perform the arithmetical proof called casting out nines and are introduced to Russian peasant multiplication, a bizarre way to multiply numbers that actually works. The book shows us how to calculate the number of ways a chef can combine ten or fewer spices to flavor his soup (1,024) and how many people we would have to gather in a room to have a 50-50 chance of two having the same birthday (23 people). But most important, Benson takes us step by step through these many mathematical wonders, so that we arrive at the solution much the way a working scientist would-and with much the same feeling of surprise. Every fan of mathematical puzzles will be enthralled by The Moment of Proof. Indeed, anyone interested in mathematics or in scientific discovery in general will want to own this book. Nº de ref. de la librería AAV9780195139198

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## 3.The Moment of Proof: Mathematical Epiphanies (Paperback)

Editorial: Oxford University Press Inc, United States (2000)
ISBN 10: 0195139194 ISBN 13: 9780195139198
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Descripción Oxford University Press Inc, United States, 2000. Paperback. Estado de conservación: New. Revised ed.. Language: English . Brand New Book ***** Print on Demand *****. When Archimedes, while bathing, suddenly hit upon the principle of buoyancy, he ran wildly through the streets of Syracuse, stark naked, crying eureka! In The Moment of Proof, Donald Benson attempts to convey to general readers the feeling of eureka-the joy of discovery-that mathematicians feel when they first encounter an elegant proof. This is not an introduction to mathematics so much as an introduction to the pleasures of mathematical thinking. And indeed the delights of this book are many and varied. The book is packed with intriguing conundrums-Loyd s Fifteen Puzzle, the Petersburg Paradox, the Chaos Game, the Monty Hall Problem, the Prisoners Dilemma-as well as many mathematical curiosities. We learn how to perform the arithmetical proof called casting out nines and are introduced to Russian peasant multiplication, a bizarre way to multiply numbers that actually works. The book shows us how to calculate the number of ways a chef can combine ten or fewer spices to flavor his soup (1,024) and how many people we would have to gather in a room to have a 50-50 chance of two having the same birthday (23 people). But most important, Benson takes us step by step through these many mathematical wonders, so that we arrive at the solution much the way a working scientist would-and with much the same feeling of surprise. Every fan of mathematical puzzles will be enthralled by The Moment of Proof. Indeed, anyone interested in mathematics or in scientific discovery in general will want to own this book. Nº de ref. de la librería AAV9780195139198

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## 4.The Moment of Proof

Editorial: Oxford University Press (2016)
ISBN 10: 0195139194 ISBN 13: 9780195139198
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Descripción Oxford University Press, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780195139198_lsuk

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## 5.The Moment of Proof

Editorial: OUP USA (2001)
ISBN 10: 0195139194 ISBN 13: 9780195139198
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Descripción OUP USA, 2001. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9780195139198

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## 6.The Moment of Proof: Mathematical Epiphanies

Editorial: Oxford University Press (2000)
ISBN 10: 0195139194 ISBN 13: 9780195139198
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Descripción Oxford University Press, 2000. Paperback. Estado de conservación: New. book. Nº de ref. de la librería M0195139194

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## 7.The Moment of Proof: Mathematical Epiphanies

Editorial: Oxford University Press, USA (2000)
ISBN 10: 0195139194 ISBN 13: 9780195139198
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Descripción Oxford University Press, USA, 2000. Paperback. Estado de conservación: New. Trade. Nº de ref. de la librería DADAX0195139194

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## 8.The Moment of Proof

Editorial: OUP USA (2001)
ISBN 10: 0195139194 ISBN 13: 9780195139198
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Descripción OUP USA, 2001. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780195139198

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## 9.The Moment of Proof: Mathematical Epiphanies

Editorial: Oxford University Press (2017)
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Descripción Oxford University Press, 2017. Paperback. Estado de conservación: New. Never used! This item is printed on demand. Nº de ref. de la librería P110195139194

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## 10.The Moment of Proof: Mathematical Epiphanies

Editorial: Oxford University Press (2000)
ISBN 10: 0195139194 ISBN 13: 9780195139198
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Descripción Oxford University Press, 2000. Paperback. Estado de conservación: New. Nº de ref. de la librería INGM9780195139198

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