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9780471013983

Beyond Reason Eight Great Problems That Reveal the Limits of Science

by
  • ISBN13:

    9780471013983

  • ISBN10:

    0471013986

  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2004-04-23
  • Publisher: Wiley

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Summary

A mind-bending excursion to the limits of science and mathematics Are some scientific problems insoluble? In Beyond Reason, internationally acclaimed math and science author A. K. Dewdney answers this question by examining eight insurmountable mathematical and scientific roadblocks that have stumped thinkers across the centuries, from ancient mathematical conundrums such as "squaring the circle," first attempted by the Pythagoreans, to G?del's vexing theorem, from perpetual motion to the upredictable behavior of chaotic systems such as the weather. A. K. Dewdney, PhD (Ontario, Canada), was the author of Scientific American's "Computer Recreations" column for eight years. He has written several critically acclaimed popular math and science books, including A Mathematical Mystery Tour (0-471-40734-8); Yes, We Have No Neutrons (0-471-29586-8); and 2000f Nothing (0-471-14574-2).

Author Biography

<b>A.K. DEWDNEY,</b> PH<b>.D.,</b> is the author of several critically acclaimed math and science books, including A&#160; Mathematical Mystery Tour; Yes, We have No Neutrons; and 2000f Nothing, all from Wiley. He was a member of the computer science&#160; department at the university of Western Ontario and at the university of Waterloo for a combined period of thirty years before retiring. In 1996, he became an adjunct professor of biology at UWO. For eight years, Dewdney was the&#160; computer Recreations columnist&#160; for Scientific American magazine.

Table of Contents

Introduction: Where Reason Cannot Go 1(10)
MATH IN THE COSMOS
1 The Energy Drain: Impossible Machines
11(24)
2 The Cosmic Limit: Unreachable Speeds
35(24)
3 The Quantum Curtain: Unknowable Particles
59(26)
4 The Edge of Chaos: Unpredictable Systems
85(30)
MATH IN THE HOLOS
5 The Circular Crypt: Unconstructable Figures
115(22)
6 The Chains of Reason: Unprovable Theorems
137(26)
7 The Computer Treadmill: Impossible Programs
163(20)
8 the Big-O Bottleneck: Intractable Problems
183(24)
References 207(4)
Further Reading 211(2)
Index 213

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