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The math book : from Pythagoras to the 57th dimension : 250 milestones in the history of mathematics

Author: Clifford A Pickover
Publisher: New York : Sterling, an imprint of Sterling Publishing, [2009]
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:
This book covers 250 milestones in mathematical history, beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions.
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Genre/Form: History
Popular works
Document Type: Book
All Authors / Contributors: Clifford A Pickover
ISBN: 9781402757969 1402757964 9781402788291 1402788290
OCLC Number: 262694306
Description: 527 pages : illustrations (chiefly color) ; 22 cm
Contents: c. 150 million B.C. Ant odometer --
c. 30 million B.C. Primates count --
c. 1 million B.C. Cicada-generated prime numbers --
c. 100,000 B.C. Knots --
c. 18,000 B.C. Ishango bone --
c. 3000 B.C. Quipu --
c. 3000 B.C. Dice --
c. 2200 B.C. Magic squares --
c. 1800 B.C. Plimpton --
c. 1650 B.C. Rhind papyrus --
c. 1300 B.C. Tic tac toe --
c. 600 B.C. Pythagorean theorem and triangles --
548 B.C. Go --
c. 530 B.C. Pythagoras founds mathematical brotherhood --
c. 445 B.C. Zeno's paradoxes --
c. 440 B.C. Quadrature of the lune --
c. 350 B.C. Platonic solids --
c. 350 B.C. Aristotle's Organon --
c. 320 B.C. Aristotle's wheel paradox --
300 B.C. Euclid's Elements --
c. 250 B.C. Archimedes : sand, cattle & stomachion --
c. 250 B.C. (pi) --
c. 240 B.C. Sieve of Eratosthenes --
c. 240 B.C. Archimedean semi-regular polyhedra --
225 B.C. Archimedes' spiral --
c. 180 B.C. Cissoid of Diocles --
c. 150 Ptolemy's Almagest --
250 Diophantus's Arithmetica --
c. 340 Pappus's hexegon theorem --
c. 350 Bakhshali manuscript --
415 Death of Hypatia --
c. 650 Zero --
c. 800 Alcuin's Propositiones ad acuendos juvenes --
830 Al-Khwarizmi's Algebra --
834 Borromean rings --
850 Ganita sara samgraha --
c. 850 Thabit formula for amicable numbers --
c. 953 Chapters in Indian mathematics --
1070 Omar Khayyam's Treatise --
c. 1150 Al-Samawal's The dazzling --
c. 1200 Abacus --
1202 Fibonacci's Liber abaci --
1256 Wheat on a chessboard --
c. 1350 Harmonic series diverges --
c. 1427 Law of cosines --
1478 Treviso arithmetic --
c. 1500 Discovery of series formula for (pi) --
1509 Golden ratio --
1518 Polygraphiae libri sex --
1537 Loxodrome --
1545 Cardano's Ars magna --
1556 Sumario compendioso --
1569 Mercator projection --
1572 Imaginary numbers --
1611 Kepler conjecture --
1614 Logarithms --
1621 Slide rule --
1636 Fermat's spiral --
1637 Fermat's last theorem --
1637 Descartes' La géométrie --
1637 Cardioid --
1638 Logarithmic spiral --
1639 Projective geometry --
1641 Torricelli's trumpet --
1654 Pascal's triangle --
1657 The length of Neile's semicubical parabola --
1659 Viviani's theorem --
c. 1665 Discovery of calculus --
1669 Newton's method --
1673 Tautochrone problem --
1674 Astroid --
1696 L'Hôpital's Analysis of the infinitely small --
1702 Rope around the earth puzzle --
1713 Law of large numbers --
1727 Euler's number, e --
1730 Stirling's formula --
1733 Normal distribution curve --
1735 Euler-Mascheroni constant --
1736 Königsberg bridges --
1738 St. Petersburg paradox --
1742 Goldbach conjecture --
1748 Agnesi's Instiuzioni analitiche --
1751 Euler's formula for polyhedra --
1751 Euler's polygon division problem --
1759 Knight's tours --
1761 Bayes' theorem --
1769 Franklin magic square --
1774 Minimal surface --
1777 Buffon's needle --
1779 Thirty-six officers problem --
c. 1789 Sangaku geometry --
1795 Least squares --
1796 Constructing a regular heptadecagon --
1797 Fundamental theorem of algebra --
1801 Gauss's Disquisitiones arithmeticae --
1801 Three-armed protractor --
1807 Fourier series --
1812 Laplace's Théorie analytique des probabilités --
1816 Prince Rupert's problem --
1817 Bessel functions --
1822 Babbage mechanical computer --
1823 Cauchy's Le calcul infinitéstimal --
1827 Barycentric calculus --
1829 Non-Euclidean geometry --
1831 Möbius function --
1832 Group theory --
1834 Pigeonhole principle --
1843 Quaternions --
1844 Transcendental numbers --
1844 Catalan conjecture --
1850 The matrices of Sylvester --
1852 Four-color theorem --
1854 Boolean algebra --
1857 Icosian game --
1857 Harmonograph --
1858 The Möbius strip --
1858 Holditch's theorem --
1859 Riemann hypothesis --
1868 Beltrami's pseudosphere --
1872 Weierstrass function --
1872 Gros's Théorie du baguenodier --
1874 The doctorate of Kovalevskaya --
1874 Fifteen puzzle --
1874 Cantor's transfinite numbers --
1875 Reuleaux triangle --
1876 Harmonic analyzer --
1879 Ritty model 1 cash register --
1880 Venn diagrams --
1881 Benford's law --
1882 Klein bottle --
1883 Tower of Hanoi --
1884 Flatland --
1888 Tesseract --
1889 Peano axioms --
1890 Peano curve --
1891 Wallpaper groups --
1893 Sylvester's line problem --
1896 Proof of the prime number theorem --
1899 Pick's theorem --
1899 Morley's trisector theorem --
1900 Hilbert's 23 problems --
1900 Chi-square --
1901 Boy's surface --
1901 Barber paradox --
1901 Jung's theorem --
1904 Poincaré conjecture --
1904 Koch snowflake --
1904 Zermelo's axiom of choice --
1905 Jordan curve theorem --
1906 Thue-Morse sequence --
1909 Brouwer fixed-point theorem --
1909 Normal number --
1909 Boole's Philosophy and fun of algebra --
1910-1913 Principia mathematica --
1912 Hairy ball theorem --
1913 Infinite monkey theorem --
1916 Bieberbach conjecture --
1916 Johnson's theorem --
1918 Hausdorff dimension --
1919 Brun's constant --
c. 1920 Googol --
1920 Antoine's necklace --
1921 Noether's Idealtheorie --
1921 Lost in hyperspace --
1922 Geodesic dome --
1924 Alexander's horned sphere --
1924 Banach-Tarski paradox --
1925 Squaring a rectangle --
1925 Hilbert's Grand Hotel --
1926 Menger sponge --
1927 Differential analyzer --
1928 Ramsey theory --
1931 Gödel's theorem --
1933 Champernowne's number --
1935 Bourbaki : secret society --
1936 Fields medal --
1936 Turing machines --
1936 Voderberg tilings --
1937 Collatz conjecture --
1938 Ford circles --
1938 The rise of randomizing machines --
1939 Birthday paradox --
c. 1940 Polygon circumscribing --
1942 Hex --
1945 Pig game strategy --
1946 ENIAC --
1946 Von Neumann's middle-square randomizer --
1947 Gray code --
1948 Information theory --
1948 Curta calculator --
1949 Császár polyhedron --
1950 Nash equilibrium --
c. 1950 Coastline paradox --
1950 Prisoner's dilemma --
1952 Cellular automata --
1957 Martin Gardner's mathematical recreations --
1958 Gilbreath's conjecture --
1958 Turning a sphere inside out --
1958 Platonic billiards --
1959 Outer billiards --
1960 Newcomb's paradox --
1960 Sierpiński numbers --
1963 Chaos and the butterfly effect --
1963 Ulam spiral --
1963 Continuum hypothesis undecidability --
c. 1965 Superegg --
1965 Fuzzy logic --
1966 Instant insanity --
1967 Langlands program --
1967 Sprouts --
1968 Catastrophe theory --
1969 Tokarsky's unilluminable room --
1970 Donald Knuth and Mastermind --
1971 Erdös and extreme collaboration --
1972 HP-35 : first scientific pocket calculator --
1973 Penrose tiles --
1973 Art gallery theorem --
1974 Rubik's cube --
1974 Chaitin's omega --
1974 Surreal numbers --
1974 Perko knots --
1975 Fractals --
1975 Feigenbaum constant --
1977 Public-key cryptography --
1977 Szilassi polyhedron --
1979 Ikeda attractor --
1979 Spidrons --
1980 Mandelbrot set --
1981 Monster group --
1982 Ball triangle picking --
1984 Jones polynomial --
1985 Weeks manifold --
1985 Andrica's conjecture --
1985 The ABC conjecture --
1986 Audioactive sequence --
1988 Mathematica --
1988 Murphy's law and knots --
1989 Butterfly curve --
1996 The on-line encyclopedia of integer sequences --
1999 Eternity puzzle --
1999 Perfect magic tesseract --
1999 Parrondo's paradox --
1999 Solving of the holyhedron --
2001 Bed sheet problem --
2002 Solving the game of Awari --
2002 Tetris is NP-complete --
2005 NUMB3RS --
2007 Checkers is solved --
2007 The quest for lie group É́8 --
2007 Mathematical universe hypothesis.
Responsibility: Clifford A. Pickover.

Abstract:

Beginning millions of years ago with ancient "ant odometers" and moving through time to our modern-day quest for new dimensions, this title covers 250 milestones in mathematical history. It helps  Read more...

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Praise for "The Math Book" and Clifford Pickover: Pickover contemplates realms beyond our known reality. --"The New York Times" I can't imagine anybody whose minds won't be stretched by [Pickover's] Read more...

 
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   schema:description "c. 150 million B.C. Ant odometer -- c. 30 million B.C. Primates count -- c. 1 million B.C. Cicada-generated prime numbers -- c. 100,000 B.C. Knots -- c. 18,000 B.C. Ishango bone -- c. 3000 B.C. Quipu -- c. 3000 B.C. Dice -- c. 2200 B.C. Magic squares -- c. 1800 B.C. Plimpton -- c. 1650 B.C. Rhind papyrus -- c. 1300 B.C. Tic tac toe -- c. 600 B.C. Pythagorean theorem and triangles -- 548 B.C. Go -- c. 530 B.C. Pythagoras founds mathematical brotherhood -- c. 445 B.C. Zeno's paradoxes -- c. 440 B.C. Quadrature of the lune -- c. 350 B.C. Platonic solids -- c. 350 B.C. Aristotle's Organon -- c. 320 B.C. Aristotle's wheel paradox -- 300 B.C. Euclid's Elements -- c. 250 B.C. Archimedes : sand, cattle & stomachion -- c. 250 B.C. (pi) -- c. 240 B.C. Sieve of Eratosthenes -- c. 240 B.C. Archimedean semi-regular polyhedra -- 225 B.C. Archimedes' spiral -- c. 180 B.C. 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Descartes' La géométrie -- 1637 Cardioid -- 1638 Logarithmic spiral -- 1639 Projective geometry -- 1641 Torricelli's trumpet -- 1654 Pascal's triangle -- 1657 The length of Neile's semicubical parabola -- 1659 Viviani's theorem -- c. 1665 Discovery of calculus -- 1669 Newton's method -- 1673 Tautochrone problem -- 1674 Astroid -- 1696 L'Hôpital's Analysis of the infinitely small -- 1702 Rope around the earth puzzle -- 1713 Law of large numbers -- 1727 Euler's number, e -- 1730 Stirling's formula -- 1733 Normal distribution curve -- 1735 Euler-Mascheroni constant -- 1736 Königsberg bridges -- 1738 St. Petersburg paradox -- 1742 Goldbach conjecture -- 1748 Agnesi's Instiuzioni analitiche -- 1751 Euler's formula for polyhedra -- 1751 Euler's polygon division problem -- 1759 Knight's tours -- 1761 Bayes' theorem -- 1769 Franklin magic square -- 1774 Minimal surface -- 1777 Buffon's needle -- 1779 Thirty-six officers problem -- c. 1789 Sangaku geometry -- 1795 Least squares -- 1796 Constructing a regular heptadecagon -- 1797 Fundamental theorem of algebra -- 1801 Gauss's Disquisitiones arithmeticae -- 1801 Three-armed protractor -- 1807 Fourier series -- 1812 Laplace's Théorie analytique des probabilités -- 1816 Prince Rupert's problem -- 1817 Bessel functions -- 1822 Babbage mechanical computer -- 1823 Cauchy's Le calcul infinitéstimal -- 1827 Barycentric calculus -- 1829 Non-Euclidean geometry -- 1831 Möbius function -- 1832 Group theory -- 1834 Pigeonhole principle -- 1843 Quaternions -- 1844 Transcendental numbers -- 1844 Catalan conjecture -- 1850 The matrices of Sylvester -- 1852 Four-color theorem -- 1854 Boolean algebra -- 1857 Icosian game -- 1857 Harmonograph -- 1858 The Möbius strip -- 1858 Holditch's theorem -- 1859 Riemann hypothesis -- 1868 Beltrami's pseudosphere -- 1872 Weierstrass function -- 1872 Gros's Théorie du baguenodier -- 1874 The doctorate of Kovalevskaya -- 1874 Fifteen puzzle -- 1874 Cantor's transfinite numbers -- 1875 Reuleaux triangle -- 1876 Harmonic analyzer -- 1879 Ritty model 1 cash register -- 1880 Venn diagrams -- 1881 Benford's law -- 1882 Klein bottle -- 1883 Tower of Hanoi -- 1884 Flatland -- 1888 Tesseract -- 1889 Peano axioms -- 1890 Peano curve -- 1891 Wallpaper groups -- 1893 Sylvester's line problem -- 1896 Proof of the prime number theorem -- 1899 Pick's theorem -- 1899 Morley's trisector theorem -- 1900 Hilbert's 23 problems -- 1900 Chi-square -- 1901 Boy's surface -- 1901 Barber paradox -- 1901 Jung's theorem -- 1904 Poincaré conjecture -- 1904 Koch snowflake -- 1904 Zermelo's axiom of choice -- 1905 Jordan curve theorem -- 1906 Thue-Morse sequence -- 1909 Brouwer fixed-point theorem -- 1909 Normal number -- 1909 Boole's Philosophy and fun of algebra -- 1910-1913 Principia mathematica -- 1912 Hairy ball theorem -- 1913 Infinite monkey theorem -- 1916 Bieberbach conjecture -- 1916 Johnson's theorem -- 1918 Hausdorff dimension -- 1919 Brun's constant -- c. 1920 Googol -- 1920 Antoine's necklace -- 1921 Noether's Idealtheorie -- 1921 Lost in hyperspace -- 1922 Geodesic dome -- 1924 Alexander's horned sphere -- 1924 Banach-Tarski paradox -- 1925 Squaring a rectangle -- 1925 Hilbert's Grand Hotel -- 1926 Menger sponge -- 1927 Differential analyzer -- 1928 Ramsey theory -- 1931 Gödel's theorem -- 1933 Champernowne's number -- 1935 Bourbaki : secret society -- 1936 Fields medal -- 1936 Turing machines -- 1936 Voderberg tilings -- 1937 Collatz conjecture -- 1938 Ford circles -- 1938 The rise of randomizing machines -- 1939 Birthday paradox -- c. 1940 Polygon circumscribing -- 1942 Hex -- 1945 Pig game strategy -- 1946 ENIAC -- 1946 Von Neumann's middle-square randomizer -- 1947 Gray code -- 1948 Information theory -- 1948 Curta calculator -- 1949 Császár polyhedron -- 1950 Nash equilibrium -- c. 1950 Coastline paradox -- 1950 Prisoner's dilemma -- 1952 Cellular automata -- 1957 Martin Gardner's mathematical recreations -- 1958 Gilbreath's conjecture -- 1958 Turning a 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