3.1416 and All That, Second Edition

Cover......Page 1
Copyright......Page 3
Contents......Page 4
Foreword......Page 6
Introduction......Page 8
1. The Problem That Saved a Man's Life......Page 10
2. The Code of the Primes......Page 16
3. Pompeiu's Magic Seven......Page 23
4. What Is an Abstraction?......Page 29
5. Postulates - The Bylaws of Mathematics......Page 36
6. The Logical Lie Detector......Page 42
7. Number......Page 49
8. The Philadelphia Story......Page 72
9. Poinsot's Points and Lines......Page 74
1O. Chaos and Polygons......Page 80
11. Numbers, Point and Counterpoint......Page 88
12. The Mathematical Beauty Contest......Page 97
13. The House That Geometry Built......Page 103
14. Explorers of the Nth Dimension......Page 110
15. The Band-Aid Principle......Page 117
16. The Spider and the Fly......Page 126
17. A Walk in the Neighborhood......Page 132
18. Division in the Cellar......Page 140
19. The Art of Squeezing......Page 146
20. The Business of Inequalities......Page 153
21. The Abacus and the Slipstick......Page 161
22. Of Maps and Mathematics......Page 168
23. "Mr. Milton, Mr. Bradley - Meet Andrey Andreyevich Markov"......Page 173
24. 3.1416 and All That......Page 181
Ancient and Honorable Society of Pi Watchers: 1984 Report......Page 186
Bibliography......Page 190