Introduction | p. 11 |
Maps | p. 14 |
Ancient Mathematics | p. 19 |
The Egyptians | p. 22 |
The Mesopotamians | p. 26 |
Thales | p. 30 |
Pythagoras | p. 34 |
Plato and Aristotle | p. 38 |
Euclid | p. 42 |
Archimedes | p. 46 |
Apollonius | p. 50 |
Hipparchus and Ptolemy | p. 53 |
Diophantus | p. 56 |
Pappus and Hypatia | p. 60 |
Nicomachus and Boethius | p. 63 |
The Chinese | p. 65 |
The Indians | p. 69 |
The Mayans | p. 73 |
Al-Khwarizmi | p. 76 |
Alhazen and Omar Khayyan | p. 79 |
Early European Mathematics | p. 83 |
Gerbert | p. 86 |
Fibonacci | p. 89 |
Early Oxford mathematicians | p. 93 |
Oresme | p. 96 |
Regiomontanus | p. 100 |
Perspective painters | p. 103 |
Pacioli and da Vinci | p. 106 |
Recorde | p. 109 |
Cardano and Tartaglia | p. 112 |
Bombelli | p. 116 |
Mercator | p. 120 |
Copernicus and Galileo | p. 122 |
Kepler | p. 125 |
Viète | p. 128 |
Harriot | p. 132 |
Mersenne and Kircher | p. 135 |
Desargues | p. 138 |
Awakening and Enlightenment | p. 142 |
Napier and Briggs | p. 145 |
Fermat | p. 149 |
Descartes | p. 153 |
Pascal | p. 157 |
Cavalieri and Roberval | p. 161 |
Huygens | p. 165 |
Wallis | p. 168 |
Newton | p. 171 |
Wren, Hooke and Halley | p. 174 |
Leibniz | p. 178 |
Jacob Bernoulli | p. 182 |
Johann Bernoulli | p. 185 |
Newton's successors | p. 189 |
D'Alembert | p. 193 |
Euler | p. 197 |
Lagrange | p. 201 |
Laplace | p. 205 |
The Age of Revolutions | p. 209 |
Gauss | p. 213 |
Germain | p. 217 |
Monge and Poncelet | p. 221 |
Cauchy | p. 225 |
Fourier and Poisson | p. 229 |
Abel and Galois | p. 233 |
Möbius | p. 237 |
Bolyai and Lobachevsky | p. 241 |
Babbage and Lovelace | p. 246 |
Hamilton | p. 249 |
Boole | p. 253 |
Green and Stokes | p. 257 |
Thomas and Tait | p. 261 |
Maxwell | p. 265 |
Kirkman | p. 269 |
Cayley and Sylvester | p. 273 |
Chebyshev | p. 277 |
Nightingale | p. 281 |
Riemann | p. 284 |
Dodgson | p. 288 |
Cantor | p. 292 |
Kovalevskaya | p. 296 |
Klein | p. 300 |
The Modern Age | p. 304 |
Hilbert | p. 307 |
Poincaré | p. 311 |
Russell and Gödel | p. 315 |
Einstein and Minkowski | p. 319 |
Hardy, Littlewood and Ramanujan | p. 323 |
Noether | p. 327 |
Von Neumann | p. 331 |
Turing | p. 334 |
Bourbaki | p. 338 |
Robinson and Matiyasevich | p. 341 |
Appel and Haken | p. 345 |
Mandelbrot | p. 349 |
Wiles | p. 352 |
Perelman | p. 356 |
Fields Medallists | p. 361 |
Further reading | p. 366 |
Index | p. 372 |
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