The Infinite in the Finite

By Alistair Macintosh Wilson | Go to book overview

CONTENTS
Page
1 Symphonies of stone1
2 The pyramid builders19
3 The Theban Mysteries42
4 Babylon Babylonian mathematics53
5 The Middle Kingdom73
Chinese mathematics73
6 The Achaeans105
7 A world made of numbers113
Pythagoras113
The shapes of numbers115
The regular polyhedra118
Euler's number124
Polyhedra in the world128
8 The thoughts of Zeus133
The symmetries of polygons133
The symmetry groups of the regular polyhedra142
9 The philosopher's criticism163
Geometry163
The Peloponnesian War168
Socrates171
Plato175
Aristotle181
Aristotle's logic183
The Stoics construct the truth196
10 The Elements of Euclid207
Euclid's dream208
Similar triangles215
The angles of triangles220

-xi-

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The Infinite in the Finite
Table of contents

Table of contents

  • Title Page iii
  • Preface vii
  • Contents xi
  • 1 - Symphonies of Stone 1
  • 2 - The Pyramid Builders 19
  • 3 - The Theban Mysteries 42
  • 4 - Babylon 53
  • 5 - The Middle Kingdom 72
  • 6 - The Achaeans 105
  • 7 - A World Made of Numbers 112
  • 8 - The Thoughts of Zeus 132
  • 9 - The Philosopher's Criticism 163
  • 10 - The Elements of Euclid 206
  • 11 - An Island Interlude 239
  • 12 - Proportion 252
  • 13 - The Divine Archimedes 278
  • 14 - Apollonius the Great Geometer 324
  • 15 - The Science of Numbers 366
  • 16 - The School of Alexandria 388
  • 17 - The Dark Sub­ Continent of India 426
  • 18 - The Contribution of Islam 461
  • Bibliography 509
  • Index 515
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