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The math book: from pythagoras to the 57th dimension, 250 milestones in the history of mathematics
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Author
Publisher
Sterling
Publication Date
[2009]
Language
English
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Orme School of Arizona - NF - Nonfiction Books
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Prescott Public Library - NF - Nonfiction Books
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ISBN
9781402757969
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Table of Contents
From the Book - Regular Print
c. 150 Million B.C. Ant Odometer 18 --
c. 30 Million B.C. Primates Count 20 --
c. 1 Million B.C. Cicada-Generated Prime Numbers 22 --
c. 100,000 B.C. Knots 24 --
c. 18,000 B.C. Ishango Bone 26 --
c. 3000 B.C. Quipu 28 --
c. 3000 B.C.Dice 30 --
c. 2200 B.C. Magic Squares 32 --
c. 1800 B.C. Plimpton 322 34 --
c. 1650 B.C. Rhind Papyrus 36 --
c. 1300 B.C. Tic Tac Toe 38 --
c. 600 B.C. Pythagorean Theorem and Triangles 40 --
548 B.C. Go 42 --
c. 530 B.C. Pythagoras Founds Mathematical Brotherhood 44 --
c. 445 B.C. Zeno's Paradoxes 46 --
c. 440B.C. Quadrature of the Lune 48 --
c. 350 B.C. Platonic Solids 50 --
c. 350 B.C. Aristotle's Organon 52 --
c. 320 B.C. Aristotle's Wheel Paradox 54 --
300 B.C. Euclid's Elements 56 --
c. 250 B.C. Archimedes: Sand, Cattle & Stomachion 58 --
c. 250 B.C. π 60 --
c. 240 B.C. Sieve of Eratosthenes 62 --
c. 240 B.C. Archimedean Semi-Regular Polyhedra 64 --
225 B.C. Archimedes' Spiral 66 --
c. 180 B.C. Cissoid of Diocles 68 --
c. 150 B.C. Ptolemy's Almagest 70 --
250 Diophantus's Arithmetica 72 --
c. 340 B.C. Pappus's Hexagon Theorem 74 --
c. 350 B.C. Bakhshali Manuscript 76 --
415 The Death of Hypatia 78 --
c.650 Zero 80 --
c. 800 Alcuin's Propositiones ad Acuendos Juvenes 82 --
830 Al-Khwarizmi's Algebra 84 --
834 Borromean Rings 86 --
850 Ganita Sara Samgraha 88 --
c. 850 Thabit Formula for Amicable Numbers 90 --
c. 953 Chapters in Indian Mathematics 92 --
1070 Omar Khayyam's Treatise 94 --
c. 1150 Al-Samawal's The Dazzling 96 --
c. 1200 Abacus 98 --
1202 Fibonacci's Liber Abaci 100 --
1256 Wheat on a Chessboard 102 --
c. 1350 Harmonic Series Diverges 104 --
c. 1427 Law of Cosines 106 --
1478 Treviso Arithmetic 108 --
c. 1500 Discovery of Series Formula for π 110 --
1509 Golden Ratio 112 --
1518 Polygraphiae Libri Sex 114 --
1537 Loxodrome 116 --
1545 Cardano's Ars Magna 118 --
1556 Sumario Compendioso 120 --
1569 Mercator Projection 122 --
1572 Imaginary Numbers 124 --
1611 Kepler Conjecture 126 --
1614 Logarithms 128 --
1621 Slide Rule 130 --
1636 Fermat's Spiral 132 --
1637 Fermat's Last Theorem 134 --
1637 Descartes' La Geometrie 136 --
1637 Cardioid 138 --
1638 Logarithmic Spiral 140 --
1639 Projective Geometry 142 --
1641 Torricelli's Trumpet 144 --
1654 Pascal's Triangle 146 --
1657 The Length of Neile's Semicubical Parabola 148 --
1659 Viviani's Theorem 150 --
c. 1665 Discovery of Calculus 152 --
1669 Newton's Method 154 --
1673 Tautochrone Problem 156 --
1674 Astroid 158 --
1696 L'Hopital's Analysis of the Infinitely Small 160 --
1702 Rope around the Earth Puzzle 162 --
1713 Law of Large Numbers 164 --
1727 Euler's Number, e 166 --
1730 Stirling's Formula 168 --
1733 Normal Distribution Curve 170 --
1735 Euler-Mascheroni Constant 172 --
1736 Konigsberg Bridges 174 --
1738 St. Petersburg Paradox 176 --
1742 Goldbach Conjecture 178 --
1748 Agnesi's Instituzioni Analitiche 180 --
1751 Euler's Formula for Polyhedra 182 --
1751 Euler's Polygon Division Problem 184 --
1759 Knight's Tours 186 --
1761 Bayes' Theorem 188 --
1769 Franklin Magic Square 190 --
1774 Minimal Surface 192 --
1777 Buffon's Needle 194 --
1779 Thirty-Six Officers Problem 196 --
c. 1789 Sangaku Geometry 198 --
1795 Least Squares 200 --
1796 Constructing a Regular Heptadecagon 202 --
1797 Fundamental Theorem of Algebra 204 --
1801 Gauss's Disquisitiones Arithmeticae 206 --
1801 Three-Armed Protractor 208 --
1807 Fourier Series 210 --
1812 Laplace's Theorie Analytique des Probabilites 212 --
1816 Prince Rupert's Problem 214 --
1817 Bessel Functions 216 --
1822 Babbage Mechanical Computer 218 --
1823 Cauchy's Le Calcul Infinitesimal 220 --
1827 Barycentric Calculus 222 --
1829 Non-Euclidean Geometry 224 --
1831 Mobius Function 226 --
1832 Group Theory 228 --
1834 Pigeonhole Principle 230 --
1843 Quaternions 232 --
1844 Transcendental Numbers 234 --
1844 Catalan Conjecture 236 --
1850 The Matrices of Sylvester 238 --
1852 Four-Color Theorem 240 --
1854 Boolean Algebra 242 --
1857 Icosian Game 244 --
1857 Harmonograph 246 --
1858 The Möbius Strip 248 --
1858 Holditch's Theorem 250 --
1859 Riemann Hypothesis 252 --
1868 Beltrami's Pseudosphere 254 --
1872 Weierstrass Function 256 --
1872 Gros's Theorie du Baguenodier 258 --
1874 The Doctorate of Kovalevskaya 260 --
1874 Fifteen Puzzle 262 --
1874 Cantor's Transfinite Numbers 264 --
1875 Reuleaux Triangle 266 --
1876 Harmonic Analyzer 268 --
1879 Ritty Model I Cash Register 270 --
1880 Venn Diagrams 272 --
1881 Benford's Law 274 --
1882 Klein Bottle 276 --
1883 Tower of Hanoi 278 --
1884 Flatland 280 --
1888 Tesseract 282 --
1889 Peano Axioms 284 --
1890 Peano Curve 286 --
1891 Wallpaper Groups 288 --
1893 Sylvester's Line Problem 290 --
1896 Proof of the Prime Number Theorem 292 --
1899 Pick's Theorem 294 --
1899 Morley's Trisector Theorem 296 --
1900 Hilbert's 23 Problems 298 --
1900 Chi-Square 300 --
1901 Boy's Surface 302 --
1901 Barber Paradox 304 --
1901 Jung's Theorem 306 --
1904 Poincare Conjecture 308 --
1904 Koch Snowflake 310 --
1904 Zermelo's Axiom of Choice 312 --
1905 Jordan Curve Theorem 314 --
1906 Thue-Morse Sequence 316 --
1909 Brouwer Fixed-Point Theorem 318 --
1909 Normal Number 320 --
1909 Boole's Philosophy and Fun of Algebra 322 --
1910-1913 Principia Mathematica 324 --
1912 Hairy Ball Theorem 326 --
1913 Infinite Monkey Theorem 328 --
1916 Bieberbach Conjecture 330 --
1916 Johnson's Theorem 332 --
1918 Hausdorff Dimension 334 --
1919 Brun's Constant 336 --
c. 1920 Googol 338 --
1920 Antoine's Necklace 340 --
1921 Noether's Idealtheorie 342 --
1921 Lost in Hyperspace 344 --
1922 Geodesic Dome 346 --
1924 Alexander's Horned Sphere 348 --
1924 Banach-Tarski Paradox 350 --
1925 Squaring a Rectangle 352 --
1925 Hilbert's Grand Hotel 354 --
1926 Menger Sponge 356 --
1927 Differential Analyzer 358 --
1928 Ramsey Theory 360 --
1931 Godel's Theorem 362 --
1933 Champernowne's Number 364 --
1935 Bourbaki: Secret Society 366 --
1936 Fields Medal 368 --
1936 Turing Machines 370 --
1936 Voderberg Tilings 372 --
1937 Collatz Conjecture 374 --
1938 Ford Circles 376 --
1938 The Rise of Randomizing Machines 378 --
1939 Birthday Paradox 380 --
c. 1940 Polygon Circumscribing 382 --
1942 Hex 384 --
1945 Pig Game Strategy 386 --
1946 ENIAC 388 --
1946 Von Neumann's Middle-Square Randomizer 390 --
1947 Gray Code 392 --
1948 Information Theory 394 --
1948 Curta Calculator 396 --
1949 Csaszar Polyhedron 398 --
1950 Nash Equilibrium 400 --
c. 1950 Coastline Paradox 402 --
1950 Prisoner's Dilemma 404 --
1952 Cellular Automata 406 --
1957 Martin Gardner's Mathematical Recreations 408 --
1958 Gilbreath's Conjecture 410 --
1958 Turning a Sphere Inside Out 412 --
1958 Platonic Billiards 414 --
1959 Outer Billiards 416 --
1960 Newcomb's Paradox 418 --
1960 Sierpinski Numbers 420 --
1963 Chaos and the Butterfly Effect 422 --
1963 Ulam Spiral 424 --
1963 Continuum Hypothesis Undecidability 426 --
c. 1965 Superegg 428 --
1965 Fuzzy Logic 430 --
1966 Instant Insanity 432 --
1967 Langlands Program 434 --
1967 Sprouts 436 --
1968 Catastrophe Theory 438 --
1969 Tokarsky's Unilluminable Room 440 --
1970 Donald Knuth and Mastermind 442 --
1971 Erdos and Extreme Collaboration 444 --
1972 HP-35: First Scientific Pocket Calculator 446 --
1973 Penrose Tiles 448 --
1973 Art Gallery Theorem 450 --
1974 Rubik's Cube 452 --
1974 Chaitin's Omega 454 --
1974 Surreal Numbers 456 --
1974 Perko Knots 458 --
1975 Fractals 460 --
1975 Feigenbaum Constant 462 --
1977 Public-Key Cryptography 464 --
1977 Szilassi Polyhedron 466 --
1979 Ikeda Attractor 468 --
1979 Spidrons 470 --
1980 Mandelbrot Set 472 --
1981 Monster Group 474 --
1982 Ball Triangle Picking 476 --
1984 Jones Polynomial 478 --
1985 Weeks Manifold 480 --
1985 Andrica's Conjecture 482 --
1985 The ABC Conjecture 484 --
1986 Audioactive Sequence 486 --
1988 Mathematica 488 --
1988 Murphy's Law and Knots 490 --
1989 Butterfly Curve 492 --
1996 The On-Line Encyclopedia of Integer Sequences 494 --
1999 Eternity Puzzle 496 --
1999 Perfect Magic Tesseract 498 --
1999 Parrondo's Paradox 500 --
1999 Solving of the Holyhedron 502 --
2001 Bed Sheet Problem 504 --
2002 Solving the Game of Awari 506 --
2002 Tetris Is NP-Complete 508 --
2005 NUMB3RS 510 --
2007 Checkers Is Solved 512 --
2007 The Quest for Lie Group E8 514 --
2007 Mathematical Universe Hypothesis 516.
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