Ivars Peterson1. Calculation and the Chess MasterChelminski, Rudy. 2001. This time it's personal. Wired 9 (October): 96-113. Available at http://www.wired.com/wired/archive/9.10/chess.html. Devlin, Keith. 1997. Clash of the chess titans. MAA Online (May). Available at http://www.maa.org/devlin/devlin_5_97.html. ______. 1996. Reflections on Deep Blue. MAA Online (March). Available at http://www.maa.org/devlin/deepblue.html. Ginsberg, Mathew L. 1998. Computers, games and the real world. Scientific American (November). Available at http://www.sciam.com/1998/1198intelligence/1198ginsberg.html. Levy, David, and Monty Newborn. 1991. How Computers Play Chess. New York: W. H. Freeman. Levy, David. 1983. Computer Gamesmanship: Elements of Intelligent Game Design. New York: Simon & Schuster. Newborn, Monty. 1997. Kasparov versus Deep Blue: Computer Chess Comes of Age. New York: Springer-Verlag. Peterson, Ivars. 1997. Computer triumphs over human champion. Science News 151 (May 17): 300. ______. 1996. The soul of a chess machine. Science News 149 (March 30): 200-201. Available at http://www.sciencenews.org/sn_edpik/mc_4.htm. ______. 1996. Chess champion sinks Deep Blue's figuring. Science News 149 (Feb. 24): 119. Shannon, Claude. 2000. A chess-playing machine. In The World of Mathematics, vol. 4, James R. Newman, ed. New York: Dover. Shaw, J. B. 1912. What is mathematics? Bulletin of the American Mathematical Society 18: 386-387. A Web site devoted to the matches between Garry Kasparov and Deep Blue can be found at http://www.research.ibm.com/deepblue/home/html/b.html. 2. The Cow in the ClassroomEberhart, J. G. 2001. Humor and music in the mathematics classroom. In Bridges: Mathematical Connections in Art, Music, and Science Conference Proceedings, Reza Sarhangi and Slavik Jablan, eds. See http://www.sckans.edu/~bridges/. Enzensberger, Hans Magnus. 1997. The Number Devil: A Mathematical Adventure. New York: Metropolitan Books. Fadiman, Clifton, ed. 1997. Fantasia Mathematica. New York: Copernicus. ______. 1997. The Mathematical Magpie. New York: Copernicus. Frucht, William, ed. 1999. Imaginary Numbers: An Anthology of Marvelous Mathematical Stories, Diversions, Poems, and Musings. New York: Wiley. Juster, Norton. 1971. The Phantom Tollbooth. New York: Alfred A. Knopf. Leacock, Stephen. 2000. Mathematics for golfers. In The World of Mathematics, vol. 4, James R. Newman, ed. New York: Dover. ______. 2000. Common sense and the universe. In The World of Mathematics, vol. 4, James R. Newman, ed. New York: Dover. ______. 1997. A, B, and C—The human element in mathematics. In The Mathematical Magpie, Clifton Fadiman, ed. New York: Copernicus. Sachar, Louis. 1995. Wayside School Gets a Little Stranger. New York: Morrow. ______. 1994. More Sideways Arithmetic from Wayside School. New York: Scholastic. ______. 1989. Sideways Arithmetic from Wayside School. New York: Scholastic. Scieszka, Jon, and Lane Smith. 1995. 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A History of Pi. Boulder, CO: Golem Press. Benjamin, Arthur. 2000. A better way to memorize pi: The phonetic code. Math Horizons 7 (February): 17. Berggren, L., J. Borwein, and P. Borwein. 1997. Pi: A Source Book. New York: Springer-Verlag. Blatner, David. 1997. The Joy of Π. New York: Walker. See http://www.joyofpi.com/. Borwein, J. M., and P. B. Borwein. 1990. A Dictionary of Real Numbers. Pacific Grove, CA: Wadsworth & Brooks/Cole. Castellanos, Dario. 1988. The ubiquitous pi. Mathematics Magazine 61 (April): 67-96 and 61 (June): 148-164. Conway, John H., and Richard K. Guy. 1996. The Book of Numbers. New York: Copernicus. Cukier, Mimi. 1999. Pi mnemonics. Math Horizons 6 (April): 35. Davis, Philip J., and William G. Chinn. 1985. 3.1416 and All That, 2nd ed. Boston: Birkhäuser. Gardner, Martin. 1999. Slicing pi into millions. In Gardner's Whys & Wherefores. Amherst, NY: Prometheus Books. Hayes, Brian. 1996. A question of numbers. American Scientist 84 (January-February): 10-14. Available at http://www.sigmaxi.org/amsci/issues/comsci96/compsci96-01.html. Palais, Bob. 2001. Π is wrong! Mathematical Intelligencer 23(No. 3): 7-8. Peterson, Ivars. 2001. Normal pi. Science News 160 (Sept. 1): 136-137. Available at http://www.sciencenews.org/20010901/bob9.asp. ______. 1999. Pi by the billions. Science News 156 (Oct. 16): 255. ______. 1995. A new formula for picking off pieces of pi. Science News 148 (Oct. 28): 279. ______. 1995. Next number, please. Science News 147 (May 20): 319. ______. 1995. Spying pi in the sky. Science News 147 (May 20): 319. See http://ourworld.compuserve.com/homepages/rajm/pinature.htm. Sloane, N. J. A., and Simon Plouffe. 1995. The Encyclopedia of Integer Sequences. San Diego, CA: Academic Press. See http://www.research.att.com/~njas/sequences/index.html and http://www.research.att.com/~njas/sequences/book.html. Watson, Bruce. 2000. Squaring the circle is no piece of Π. Smithsonian 31 (May): 71-82. See http://www.smithsonianmag.si.edu/smithsonian/issues00/may00/pi.html. Accompanying chronology: http://www-history.mcs.st-and.ac.uk/history/HistTopics/Pi_chronology.html. The "Pi Pages" are available at http://www.cecm.sfu.ca/pi/pi.html. A Web page devoted to the "uselessness of pi and its irrational friends" is available at http://www.go2net.com/useless/useless/pi.html. Mike Keith's "World of Words & Numbers" Web pages feature a poem ("Near a Raven") encoding the first 740 digits of pi and a short story ("Cadaeic Cadenza") that goes to even greater lengths to immortalize pi: http://users.aol.com/s6sj7gt/mikehome.htm. Advice on memorizing digits of pi can be found at http://plaza.v-wave.com/vseward/pi_main.html. Plouffe's Inverter can be found at http://www.lacim.uqam.ca/pi/. Simon Plouffe has a home page at http://www.lacim.uqam.ca/plouffe/. MathSoft has an introduction to "The Miraculous Bailey-Borwein-Plouufe Pi Algorithm" at http://www.mathsoft.com/asolve/plouffe/plouffe.html. 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The Mathematical Tourist: New and Updated Snapshots of Modern Mathematics. New York: W. H. Freeman. Correctionsp. 8. Missing italics: Of course, she had drawn a regular heptagon. p. 18. Extra year: Davis, Philip J., and William G. Chinn. 1985. 3.1416 and All That, 2nd ed. Boston: Birkhäuser. p. 25. Incomplete title: ______. 2001. Nothing. In The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems. New York: W. W. Norton. p. 49. Missing superscript: Given that there are 2^{20} possible 20-letter words . . . p. 58. Misspelled name: Berry, Scott M. 2001. Do you feel a draft here? Chance 14 (No. 2): 53-57. p. 67. Misspelled name: In 1998 and 1999, Gardiner and his coworkers looked at two classroom programs . . . p. 77. Extra hyphen: Anyone who has coauthored a paper with him . . . p. 78. Misspelled name: Working with Patrick D. F. Ion and Rodrigo De Castro, . . . p. 88. Missing year: Faulhammer, Dirk, Anthony R. Cukras, Richard J. Lipton, and Laura F. Landweber. 2000. Molecular computation: RNA solutions to chess problems. Proceedings of the National Academy of Sciences 97 (Feb. 15): 1385-1389. p. 97. Missing italics: Mathematicians also tackled the related question of the number of terms required to express every sufficiently large integer as the sum of kth powers. p. 105. Missing words: Now, anyone can ponder the symmetries of frieze patterns, the 50,613,244,155,051,856 ways to score exactly 100 in a bowling game, . . . p. 108. Missing italics: A similar problem involves n couples and a boat that can carry n - 1 people. p. 122. Missing superscript: Apparently, for integers up to 10^{n}, roughly 1 in 2.3n is a prime number. p. 142. Delete sentence: Drill bits shaped like curved heptagons produce hexagonal holes. p. 149. Extra period: . . . inside a larger circle with a fixed radius. p. 149. Missing italics: The corresponding placement is called an optimal packing. |
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