ProofWiki:Books/David Acheson/1089 and all that

David Acheson: 1089 and all that

Published 2002, Oxford.

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