Table of Contents
   Introductionp. 10
   c. 150 Million B.C. Ant Odometerp. 18
   c. 30 Million B.C. Primates Countp. 20
   c. 1 Million B.C. Cicada-Generated Prime Numbersp. 22
   c. 100,000 B.C. Knotsp. 24
   c. 18,000 B.C. Ishango Bonep. 26
   c. 3000 B.C. Quipup. 28
   c. 3000 B.C.Dicep. 30
   c. 2200 B.C. Magic Squaresp. 32
   c. 1800 B.C. Plimpton 322p. 34
   c. 1650 B.C. Rhind Papyrusp. 36
   c. 1300 B.C. Tic Tac Toep. 38
   c. 600 B.C. Pythagorean Theorem and Trianglesp. 40
   548 B.C. Gop. 42
   c. 530 B.C. Pythagoras Founds Mathematical Brotherhoodp. 44
   c. 445 B.C. Zeno's Paradoxesp. 46
   c. 440B.C. Quadrature of the Lunep. 48
   c. 350 B.C. Platonic Solidsp. 50
   c. 350 B.C. Aristotle's Organonp. 52
   c. 320 B.C. Aristotle's Wheel Paradoxp. 54
   300 B.C. Euclid's Elementsp. 56
   c. 250 B.C. Archimedes: Sand, Cattle & Stomachionp. 58
   c. 250 B.C. ¿p. 60
   c. 240 B.C. Sieve of Eratosthenesp. 62
   c. 240 B.C. Archimedean Semi-Regular Polyhedrap. 64
   225 B.C. Archimedes' Spiralp. 66
   c. 180 B.C. Cissoid of Dioclesp. 68
   c. 150 B.C. Ptolemy's Almagestp. 70
   250 Diophantus's Arithmeticap. 72
   c. 340 B.C. Pappus's Hexagon Theoremp. 74
   c. 350 B.C. Bakhshali Manuscriptp. 76
   415 The Death of Hypatiap. 78
   c.650 Zerop. 80
   c. 800 Alcuin's Propositiones ad Acuendos Juvenesp. 82
   830 Al-Khwarizmi's Algebrap. 84
   834 Borromean Ringsp. 86
   850 Ganita Sara Samgrahap. 88
   c. 850 Thabit Formula for Amicable Numbersp. 90
   c. 953 Chapters in Indian Mathematicsp. 92
   1070 Omar Khayyam's Treatisep. 94
   c. 1150 Al-Samawal's The Dazzlingp. 96
   c. 1200 Abacusp. 98
   1202 Fibonacci's Liber Abacip. 100
   1256 Wheat on a Chessboardp. 102
   c. 1350 Harmonic Series Divergesp. 104
   c. 1427 Law of Cosinesp. 106
   1478 Treviso Arithmeticp. 108
   c. 1500 Discovery of Series Formula for ¿p. 110
   1509 Golden Ratiop. 112
   1518 Polygraphiae Libri Sexp. 114
   1537 Loxodromep. 116
   1545 Cardano's Ars Magnap. 118
   1556 Sumario Compendiosop. 120
   1569 Mercator Projectionp. 122
   1572 Imaginary Numbersp. 124
   1611 Kepler Conjecturep. 126
   1614 Logarithmsp. 128
   1621 Slide Rulep. 130
   1636 Fermat's Spiralp. 132
   1637 Fermat's Last Theoremp. 134
   1637 Descartes' La Geometriep. 136
   1637 Cardioidp. 138
   1638 Logarithmic Spiralp. 140
   1639 Projective Geometryp. 142
   1641 Torricelli's Trumpetp. 144
   1654 Pascal's Trianglep. 146
   1657 The Length of Neile's Semicubical Parabolap. 148
   1659 Viviani's Theoremp. 150
   c. 1665 Discovery of Calculusp. 152
   1669 Newton's Methodp. 154
   1673 Tautochrone Problemp. 156
   1674 Astroidp. 158
   1696 L'Hopital's Analysis of the Infinitely Smallp. 160
   1702 Rope around the Earth Puzzlep. 162
   1713 Law of Large Numbersp. 164
   1727 Euler's Number, ep. 166
   1730 Stirling's Formulap. 168
   1733 Normal Distribution Curvep. 170
   1735 Euler-Mascheroni Constantp. 172
   1736 Konigsberg Bridgesp. 174
   1738 St. Petersburg Paradoxp. 176
   1742 Goldbach Conjecturep. 178
   1748 Agnesi's Instituzioni Analitichep. 180
   1751 Euler's Formula for Polyhedrap. 182
   1751 Euler's Polygon Division Problemp. 184
   1759 Knight's Toursp. 186
   1761 Bayes' Theoremp. 188
   1769 Franklin Magic Squarep. 190
   1774 Minimal Surfacep. 192
   1777 Buffon's Needlep. 194
   1779 Thirty-Six Officers Problemp. 196
   c. 1789 Sangaku Geometryp. 198
   1795 Least Squaresp. 200
   1796 Constructing a Regular Heptadecagonp. 202
   1797 Fundamental Theorem of Algebrap. 204
   1801 Gauss's Disquisitiones Arithmeticaep. 206
   1801 Three-Armed Protractorp. 208
   1807 Fourier Seriesp. 210
   1812 Laplace's Theorie Analytique des Probabilitesp. 212
   1816 Prince Rupert's Problemp. 214
   1817 Bessel Functionsp. 216
   1822 Babbage Mechanical Computerp. 218
   1823 Cauchy's Le Calcul Infinitesimalp. 220
   1827 Barycentric Calculusp. 222
   1829 Non-Euclidean Geometryp. 224
   1831 Mobius Functionp. 226
   1832 Group Theoryp. 228
   1834 Pigeonhole Principlep. 230
   1843 Quaternionsp. 232
   1844 Transcendental Numbersp. 234
   1844 Catalan Conjecturep. 236
   1850 The Matrices of Sylvesterp. 238
   1852 Four-Color Theoremp. 240
   1854 Boolean Algebrap. 242
   1857 Icosian Gamep. 244
   1857 Harmonographp. 246
   1858 The Möbius Stripp. 248
   1858 Holditch's Theoremp. 250
   1859 Riemann Hypothesisp. 252
   1868 Beltrami's Pseudospherep. 254
   1872 Weierstrass Functionp. 256
   1872 Gros's Theorie du Baguenodierp. 258
   1874 The Doctorate of Kovalevskayap. 260
   1874 Fifteen Puzzlep. 262
   1874 Cantor's Transfinite Numbersp. 264
   1875 Reuleaux Trianglep. 266
   1876 Harmonic Analyzerp. 268
   1879 Ritty Model I Cash Registerp. 270
   1880 Venn Diagramsp. 272
   1881 Benford's Lawp. 274
   1882 Klein Bottlep. 276
   1883 Tower of Hanoip. 278
   1884 Flatlandp. 280
   1888 Tesseractp. 282
   1889 Peano Axiomsp. 284
   1890 Peano Curvep. 286
   1891 Wallpaper Groupsp. 288
   1893 Sylvester's Line Problemp. 290
   1896 Proof of the Prime Number Theoremp. 292
   1899 Pick's Theoremp. 294
   1899 Morley's Trisector Theoremp. 296
   1900 Hilbert's 23 Problemsp. 298
   1900 Chi-Squarep. 300
   1901 Boy's Surfacep. 302
   1901 Barber Paradoxp. 304
   1901 Jung's Theoremp. 306
   1904 Poincare Conjecturep. 308
   1904 Koch Snowflakep. 310
   1904 Zermelo's Axiom of Choicep. 312
   1905 Jordan Curve Theoremp. 314
   1906 Thue-Morse Sequencep. 316
   1909 Brouwer Fixed-Point Theoremp. 318
   1909 Normal Numberp. 320
   1909 Boole's Philosophy and Fun of Algebrap. 322
   1910-1913 Principia Mathematicap. 324
   1912 Hairy Ball Theoremp. 326
   1913 Infinite Monkey Theoremp. 328
   1916 Bieberbach Conjecturep. 330
   1916 Johnson's Theoremp. 332
   1918 Hausdorff Dimensionp. 334
   1919 Brun's Constantp. 336
   c. 1920 Googolp. 338
   1920 Antoine's Necklacep. 340
   1921 Noether's Idealtheoriep. 342
   1921 Lost in Hyperspacep. 344
   1922 Geodesic Domep. 346
   1924 Alexander's Horned Spherep. 348
   1924 Banach-Tarski Paradoxp. 350
   1925 Squaring a Rectanglep. 352
   1925 Hilbert's Grand Hotelp. 354
   1926 Menger Spongep. 356
   1927 Differential Analyzerp. 358
   1928 Ramsey Theoryp. 360
   1931 Godel's Theoremp. 362
   1933 Champernowne's Numberp. 364
   1935 Bourbaki: Secret Societyp. 366
   1936 Fields Medalp. 368
   1936 Turing Machinesp. 370
   1936 Voderberg Tilingsp. 372
   1937 Collatz Conjecturep. 374
   1938 Ford Circlesp. 376
   1938 The Rise of Randomizing Machinesp. 378
   1939 Birthday Paradoxp. 380
   c. 1940 Polygon Circumscribingp. 382
   1942 Hexp. 384
   1945 Pig Game Strategyp. 386
   1946 ENIACp. 388
   1946 Von Neumann's Middle-Square Randomizerp. 390
   1947 Gray Codep. 392
   1948 Information Theoryp. 394
   1948 Curta Calculatorp. 396
   1949 Csaszar Polyhedronp. 398
   1950 Nash Equilibriump. 400
   c. 1950 Coastline Paradoxp. 402
   1950 Prisoner's Dilemmap. 404
   1952 Cellular Automatap. 406
   1957 Martin Gardner's Mathematical Recreationsp. 408
   1958 Gilbreath's Conjecturep. 410
   1958 Turning a Sphere Inside Outp. 412
   1958 Platonic Billiardsp. 414
   1959 Outer Billiardsp. 416
   1960 Newcomb's Paradoxp. 418
   1960 Sierpinski Numbersp. 420
   1963 Chaos and the Butterfly Effectp. 422
   1963 Ulam Spiralp. 424
   1963 Continuum Hypothesis Undecidabilityp. 426
   c. 1965 Supereggp. 428
   1965 Fuzzy Logicp. 430
   1966 Instant Insanityp. 432
   1967 Langlands Programp. 434
   1967 Sproutsp. 436
   1968 Catastrophe Theoryp. 438
   1969 Tokarsky's Unilluminable Roomp. 440
   1970 Donald Knuth and Mastermindp. 442
   1971 Erdos and Extreme Collaborationp. 444
   1972 HP-35: First Scientific Pocket Calculatorp. 446
   1973 Penrose Tilesp. 448
   1973 Art Gallery Theoremp. 450
   1974 Rubik's Cubep. 452
   1974 Chaitin's Omegap. 454
   1974 Surreal Numbersp. 456
   1974 Perko Knotsp. 458
   1975 Fractalsp. 460
   1975 Feigenbaum Constantp. 462
   1977 Public-Key Cryptographyp. 464
   1977 Szilassi Polyhedronp. 466
   1979 Ikeda Attractorp. 468
   1979 Spidronsp. 470
   1980 Mandelbrot Setp. 472
   1981 Monster Groupp. 474
   1982 Ball Triangle Pickingp. 476
   1984 Jones Polynomialp. 478
   1985 Weeks Manifoldp. 480
   1985 Andrica's Conjecturep. 482
   1985 The ABC Conjecturep. 484
   1986 Audioactive Sequencep. 486
   1988 Mathematicap. 488
   1988 Murphy's Law and Knotsp. 490
   1989 Butterfly Curvep. 492
   1996 The On-Line Encyclopedia of Integer Sequencesp. 494
   1999 Eternity Puzzlep. 496
   1999 Perfect Magic Tesseractp. 498
   1999 Parrondo's Paradoxp. 500
   1999 Solving of the Holyhedronp. 502
   2001 Bed Sheet Problemp. 504
   2002 Solving the Game of Awarip. 506
   2002 Tetris Is NP-Completep. 508
   2005 NUMB3RSp. 510
   2007 Checkers Is Solvedp. 512
   2007 The Quest for Lie Group E8p. 514
   2007 Mathematical Universe Hypothesisp. 516
   Notes and Further Readingp. 518
   Indexp. 526
   Photo Creditsp. 528