Q.E.D.: Beauty in Mathematical Proof

Overview

Q.E.D. presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras’s theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes’ method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out ...

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Overview

Q.E.D. presents some of the most famous mathematical proofs in a charming book that will appeal to nonmathematicians and math experts alike. Grasp in an instant why Pythagoras’s theorem must be correct. Follow the ancient Chinese proof of the volume formula for the frustrating frustum, and Archimedes’ method for finding the volume of a sphere. Discover the secrets of pi and why, contrary to popular belief, squaring the circle really is possible. Study the subtle art of mathematical domino tumbling, and find out how slicing cones helped save a city and put a man on the moon.

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Product Details

  • ISBN-13: 9780802714312
  • Publisher: Walker & Company
  • Publication date: 5/1/2004
  • Series: Wooden Books Series
  • Pages: 64
  • Sales rank: 316,189
  • Product dimensions: 6.15 (w) x 6.89 (h) x 0.43 (d)

Meet the Author

Burkard Polster is a mathematician at Monash University in Melbourne, Australia. His previous books include The Mathematics of Juggling and The Geometrical Picture Book.

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Table of Contents

Introduction 1
Treacherous Truth 2
Pythagoras's Theorem 4
Plane and Simple 6
From Pie to Pi 8
Cavalieri's Principle 10
Cavalier Cone Carving 12
A Frustrating Frustum 14
Archimedes' Theorem 16
Inside Out 18
Mathematical Dominoes 20
The Infinite Staircase 22
Circling the Cycloid 24
Slicing Cones 26
Folding Conics 28
Knotting Polygons 30
Cutting Squares 32
Power Sums 34
Never-ending Primes 36
The Nature of Numbers 38
The Golden Ratio 40
The Numbers of Nature 42
Euler's Formula 44
Possible Impossibilities 46
Appendix I One Theorem, Many Proofs 48
Appendix II All for One and One for All 50
Appendix III Looks Can Be Deceiving 52
Appendix IV Triangles of Generality 54
Appendix V Polytopes of Analogy 56
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