Book:David Acheson/1089 and all that

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