Nonplussed mathematical proof of implausible ideas.

Math--the application of reasonable logic to reasonable assumptions--usually produces reasonable results. But sometimes math generates astonishing paradoxes--conclusions that seem completely unreasonable or just plain impossible but that are nevertheless demonstrably true: Conclusions that, for exam...

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Bibliographic Details
Main Author:	Havil, Julian
Format:	eBook Book
Language:	English
Published:	Princeton, N.J Princeton University Press 2007
Edition:	1
Subjects:	Adoption of the Gregorian calendar Algorithm Apollo 13 Arc length Birthday problem Calculation Cavalieri's principle Circles of Apollonius Combination Complex number Computation Coordinate system Curse of dimensionality Derangement Diagram Diagram (category theory) Digamma function Dimension Easter Elementary algebra Enthusiasm Epistle Equilateral triangle Error function Flatland FRACTRAN Gabriel's Horn Gamma function General Science Geometric probability Geometry Gregorian calendar Highway Hyperbola Hypercube Hypersphere Integer Integration by parts Intersection (set theory) Julian calendar Leap year Lewis Carroll Logarithmic spiral Magic square Martin Gardner Mathematical recreations Mathematician MATHEMATICS Mathematics > Miscellenea MATHEMATICS / Applied Maundy Thursday Miscellanea Month Natural number Nontransitive dice Notation Paradox Paradox > Mathematics Polynomial Power of two Prime number Probability Probability and statistics Pursuit curve Quarry Rectangle Requirement Result SCIENCE / Applied Sciences Scientific notation Shrove Tuesday Summation Surface area Theory Treatise Triskaidekaphobia Universally unique identifier Wine glass Birthday problem Polynomial Rectangle FRACTRAN Gamma function Cavalieri's principle Triskaidekaphobia Treatise Result Month Combination Calculation Probability and statistics Arc length Highway Integration by parts Lewis Carroll Gregorian calendar Leap year Quarry Equilateral triangle Magic square Algorithm Requirement Curse of dimensionality Epistle Computation Hypercube Geometric probability Julian calendar Summation Enthusiasm Prime number Natural number Easter Circles of Apollonius Gabriel's Horn Digamma function Theory Diagram (category theory) Mathematics Flatland Coordinate system Notation Wine glass Apollo 13 Maundy Thursday Nontransitive dice Universally unique identifier Error function Probability Elementary algebra Power of two Dimension Logarithmic spiral Derangement Mathematician Complex number Diagram Integer Geometry Martin Gardner Shrove Tuesday Hypersphere Intersection (set theory) Scientific notation Pursuit curve Hyperbola Surface area Adoption of the Gregorian calendar
ISBN:	9781400837380, 0691120560, 9780691120560, 0691148228, 1400837383, 9780691148229
Online Access:	Get full text
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Table of Contents:

Nonplussed!: mathematical proof of implausible ideas -- Contents -- Preface -- Acknowledgements -- Introduction -- Chapter 1: Three Tennis Paradoxes -- Chapter 2: The Uphill Roller -- Chapter 3: The Birthday Paradox -- Chapter 4: The Spin of a Table -- Chapter 5: Derangements -- Chapter 6: Conway's Chequerboard Army -- Chapter 7: The Toss of a Needle -- Chapter 8: Torricell's Trumpet -- Chapter 9: Nontransitive Effects -- Chapter 10: A Pursuit Problem -- Chapter 11: Parrondo's Games -- Chapter 12: Hyperdimensions -- Chapter 13: Friday the 13th -- Chapter 14: Fractran -- The Motifs -- Appendix A: The Inclusion-Exclusion Principle -- Appendix B: The Binomial Inversion Formula -- Appendix C: Surface Area and Arc Length -- Index
Front Matter Table of Contents Preface Acknowledgements Introduction Chapter 1: THREE TENNIS PARADOXES Chapter 2: THE UPHILL ROLLER Chapter 3: THE BIRTHDAY PARADOX Chapter 4: THE SPIN OF A TABLE Chapter 5: DERANGEMENTS Chapter 6: CONWAY’S CHEQUERBOARD ARMY Chapter 7: THE TOSS OF A NEEDLE Chapter 8: TORRICELLI’S TRUMPET Chapter 9: NONTRANSITIVE EFFECTS Chapter 10: A PURSUIT PROBLEM Chapter 11: PARRONDO’S GAMES Chapter 12: HYPERDIMENSIONS Chapter 13: FRIDAY THE 13TH Chapter 14: FRACTRAN The Motifs Appendix A Appendix B Appendix C Index
Cover -- Title Page -- Copyright Page -- Table of Contents -- Preface -- Acknowledgements -- Introduction -- CHAPTER 1 Three Tennis Paradoxes -- CHAPTER 2 The Uphill Roller -- CHAPTER 3 The Birthday Paradox -- CHAPTER 4 The spin of a Table -- CHAPTER 5 Derangements -- CHAPTER 6 Conway's Chequerboard Army -- CHAPTER 7 The Toss of a Needle -- CHAPTER 8 Torricell's Trumpet -- CHAPTER 9 Nontransitive Effects -- CHAPTER 10 A Pursuit Problem -- CHAPTER 11 Parrondo's Games -- CHAPTER 12 Hyperdimensions -- CHAPTER 13 Friday the 13th -- CHAPTER 14 Fractran -- THE MOTIFS -- APPENDIX A The Inclusion-Exclusion Principle -- APPENDIX B The Binomial Inversion Formula -- APPENDIX C Surface Area and Arc Length -- Index
Chapter 4. The Spin of a Table
The Motifs
Index
Chapter 13. Friday the 13th
Acknowledgements
Chapter 11. Parrondo’s Games
Chapter 14. Fractran
Chapter 5. Derangements
Chapter 12. Hyperdimensions
Preface
Chapter 6. Conway’s Chequerboard Army
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Appendix B. The Binomial Inversion Formula
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Chapter 9. Nontransitive Effects
Appendix C. Surface Area and Arc Length
Contents
Chapter 3. The Birthday Paradox
Introduction
Chapter 7. The Toss of a Needle
Frontmatter --
Appendix A. The Inclusion–Exclusion Principle
Chapter 10. A Pursuit Problem
Chapter 1. Three Tennis Paradoxes
Chapter 8. Torricelli’s Trumpet
Chapter 2. The Uphill Roller