Book:David Acheson/1089 and all that

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David Acheson: 1089 and all that

Published $2002$, Oxford

ISBN 0-19-851623-1.


Subject Matter

  • A step-by-step buildup, at an elementary level, to a fully-explained demonstration of Euler's Identity $e^{i\pi} = -1$.


Contents

1 1089 and All That
2 'In Love with Geometrie'
3 But ... that's Absurd ...
4 The Trouble with Algebra
5 The Heavens in Motion
6 All Change!
7 On Being as Small as Possible
8 'Are We Nearly There?'
9 A Brief History of $\pi$
10 Good Vibrations
11 Great Mistakes
12 What is the Secret of All Life?
13 $e = 2.718 \ldots$
14 Chaos and Catastrophe
15 Not Quite the Indian Rope Trick
16 Real or Imaginary?
Suggestions for Further Reading
The 1089 and All That Website
Acknowledgments
Picture Credits
Index


Critical View

One of the best books ever.
Prime.mover