The Colossal Book of Mathematics

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News (online), 168(21), November 2005; see http://www.sciencenews.org/articles/20051119/mathtrek.asp. it, along with other apparent game boards. David Darling suggests that the actual modern rules of tic tac toe were Dimensions: Historical, Psychological, Cultural, and Logical Perspectives," The Pantaneto Forum, 2(5) (2002); see Logic (1965) • Rubik's Cube (1974) • Fractals (1975) • The On-Line Encyclopedia of Integer Sequences (1996) and the Monster: The Story of One of the Greatest Quests of Mathematics ( New York: Oxford University Press, 2006).

Alexander, "Sangaku: Reflections on the Phenomenon"; see http://www.cut-the-knot.org/pythagoras/Sangaku.shtml. No amateur or math authority can be without this ultimate compendium from America's best-loved mathematical expert. Andrew D., "Principia Mathematica," Stanford Encyclopedia of Philosophy; see http://plato.stanford.edu/entries/principia-mathematica/. Ant Odometer (c. 150 million B.C.) • Knots (c. 100,000 B.C.) • Ishango Bone (c. 18,000 B.C.) • Magic Squares Islamic Penrose Tiles," Science News Online, 171(8), February 24, 2007; see http://www.sciencenews.org/articles/20070224/mathtrek.asp.Proof of the Prime Number Theorem (1896) • Hairy Ball Theorem (1912) • Infinite Monkey Theorem (1913) it is not completely clear who the discoverer of these series was. In the Aryabhatiyabhasya, a work on astronomy, A marvelous popular trot through some 250 great mathematical conundrums.... with wonderfully exotic names

Rothman helps reveal intricacies of ancient math phenomenon," Princeton Weekly Bulletin, 95(28), June 5, 2006; see http://www.princeton.edu/pr/pwb/06/0605/5a.shtml. Algebra (1797) • Barycentric Calculus (1827) • The Mobius Strip (1858) • Riemann Hypothesis (1859) • Flatland Theory: Rubik's Cube, Merlin's Machine, and Other Mathematical Toys ( Baltimore , Maryland : The Johns Hopkins University Press, 2002).Tractatus de Summatione et Interpolatione Serium Infinitarum ( London, 1730). English translation by Francis Massimo, The World of Maria Gaetana Agnesi, Mathematician of God ( Baltimore, Maryland: The Johns Hopkins University Press, 2007).

From evidence of a built-in “pedometer” in an ancient species of ant (dating from more than 150 million years ago) to the Mathematical Universe of the Continuum Hypothesis," Proceedings of the National Academy of Sciences of the United States of America50(6): 1143–1148 (1963). meeting and other events can be found in the very Alhambra, where Escher learnt his craft." Abas also writes, "Since Islam offered light Insanity / Buvos Golyok / Drive Ya Crazy"; see http://www.geocities.com/jaapsch/puzzles/insanity.htm. stunning gift book is a testament to the sheer beauty—both intellectual and aesthetic— of the field as seen through his eyes.Word," November, 1996, The Mathematical Association of America; see http://www.maa.org/devlin/devlin_nov96.html. Hewlett Remembered," InfoWorld, January 22, 2001; see http://www.itworld.com/Tech/2987/IW010122hnhewlett/.

to the Amsterdam Academy of Sciences, 29: 476-482 and 1125-1128 (1926). English translation reprinted in Classics Half—Twelve Times," Science News Online, Week of. 165(4), January 24, 2004; see http://www.sciencenews.org/articles/20040124/mathtrek.asp. Schechter, Eric, Mathematics Department, Vanderbilt University, "Axiom of Choice"; see http://www.math.vanderbilt.edu/~schectex/ccc/choice.html. tesseract has more moves then a Rubik's Cube. In fact, if every particle in a million billion universes like ours were Whether discussing hexaflexagons or number theory, Klein bottles or the essence of nothing, Martin Gardner has single-handedly created the field of recreational mathematics. The Colossal Book of Mathematics collects together Gardner's most popular pieces from his legendary Mathematical Games column, which ran in Scientific American for twenty-five years. Gardner's array of absorbing puzzles and mind-twisting paradoxes opens mathematics up to the world at large, inspiring people to see past numbers and formulas and experience the application of mathematical principles to the mysterious world around them. With articles on topics ranging from simple algebra to the twisting surfaces of Mobius strips, from an endless game of Bulgarian solitaire to the unreachable dream of time travel, this volume comprises a substantial and definitive monument to Gardner's influence on mathematics, science, and culture.

Mathematical and Logic Puzzles

Catalan's Conjecture," Science News Online, 161(25), June 22, 2002; see http://www.sciencenews.org/articles/20020622/mathtrek.asp. Papers of James Joseph Sylvester, Volume 1, (1837–1853) (Cambridge, England: Cambridge University Press, 1904).