6 Where’s the Proof?

Chapters in this book

1. Frontmatter i
2. Contents v
3. 1 Mathematical Imprints 1
4. 2 Unearthing Wisdom 7
5. 3 A Scribe’s Story 13
6. 4 The Secrets of the Pythagoreans 19
7. 5 The Greatest Mathematical Bestseller of All Time 27
8. 6 Where’s the Proof? 33
9. 7 The Dawn of Number Theory 40
10. 8 The Origin of Nothing 46
11. 9 Echoes from Baghdad 51
12. 10 A Mathematical Tapestry 57
13. 11 The Things in Between 64
14. 12 Beauty is in the Eye of the Mathematician 71
15. 13 The Cubic Affair 78
16. 14 Cracking Algebra’s Codes 85
17. 15 Harmony of the World 91
18. 16 Mathematical Machines 99
19. 17 Before the Internet, There Was Mersenne 106
20. 18 The Game That Never Stopped 114
21. 19 Closed Doors and Open Minds 121
22. 20 The Lion and the Witch 128
23. 21 The Travelling Mathematician 137
24. 22 Modern Geometry and Its Traces 144
25. 23 A New World Out of Nothing 151
26. 24 Romantic Mathematicians 159
27. 25 A Logical Wonderland 165
28. 26 The Quiet Birth of Chaos 171
29. 27 Sizes of Infinities 178
30. 28 The Unfolding of Many Dimensions 185
31. 29 Mathematicians of the World Unite 191
32. 30 In Pursuit of Perfection 199
33. 31 Ramsey and Friends 205
34. 32 The Mother of Abstract Algebra 213
35. 33 A Fellowship Called Nicolas 219
36. 34 The Games People Play 226
37. 35 Cauliflowers and Coastlines 234
38. 36 The Unfinished Business 242
39. 37 Maryam’s Magic Wand 250
40. 38 Patterns of Mathematical Success 258
41. 39 Packing for a Trip to New Dimensions 266
42. 40 Dreams of New Mathematics 273
43. Index 279