Recreational Mathematics see also General Mathematics, Magic Squares, Mathematics Problems, Numbers, Problem , Puzzle Ahrens, W. Mathematische Unterhaltungen und Spiele, 2 vols. Vol. 1, 3rd ed. Vol. 2, 2nd ed. Leipzig: B. G. Teubner, 1921 and 1918. Altshiller Court, Nathan. Mathematics in Fun and Earnest. New York: Dial Press, 1958. Bachet, Claude Gaspar. Problèmes plaisans et délectables, 2nd ed. 1624. Bakst, Aaron. Mathematical Puzzles and Pastimes. New York: Van Nostrand, 1954. 206 p. Out of print. Bakst, Aaron. Mathematics: Its Magic and Mystery, 3rd ed. Princeton, NJ: Van Nostrand, 1967. 842 p. Out of print. Ball, Walter William Rouse. Fun with String Figures. New York: Dover, 1971. 80 p. $2.95. Ball, Walter William Rouse and Coxeter, Harold Scott Macdonald. Mathematical Recreations and Essays. New York: Dover, 1987. Excellent!! An all-time classic (although now slightly out-of-date) at a bargain-basement price. $8.95. Barr, Stephen. Second Miscellany of Puzzles-Mathematical and Otherwise. London: Macmillan, 1969. 224 p. $6.95. Barr, Stephen. Intriguing Puzzles in Math and Logic. New York: Dover, 1994. 164 p. $5.95. Beck, Anatole; Bleicher, Michael N.; and Crowe, Donald W. Excursions into Mathematics, the Millennium Edition. Natick, MA: AK Peters, 2000. 499 p. $34. Beiler, Albert H. Recreations in the Theory of Numbers: The Queen of Mathematics Entertains, 2nd ed. New York: Dover, 1966. 349 p. A classic introduction to some accessible and fun aspects of number theory. A bargain. $7.95. Bellman, Richard; Cooke, Kenneth L.; and Lockett, Jo Ann. Algorithms, Graphs, and Computers. New York: Academic Press, 1970. 246 p. Out of print. $?. Berlekamp, Elwyn and Rodgers, Tom (Eds.). The Mathemagician and the Pied Puzzler: A Collection in Tribute to Martin Gardner. Boston, MA: A.K. Peters, 1999. 266 p. $34. Cadwell, J.H. Topics in Recreational Mathematics. Cambridge, England: Cambridge University Press, 1966. 180 p. Out of print. $?. Carroll, Lewis. Symbolic Logic and the Game of Logic. New York: Dover, 1958. Two volumes bound as one. $8.95. Carroll, Lewis. Pillow Problems and A Tangles Tale. New York: Dover, 1958. Two volumes bound as one. $9.95. Chernyak, Yuri B. and Rose, Robert M. The Chicken from Minsk and 99 Other Infuriatingly Challenging Brainteasers from the Great Russian Tradition of Math and Science. New York: BasicBooks, 1995. 191 p. $10. Cundy, H. and Rollett, A. Mathematical Models, 2nd ed. Parkwest Publications, 1997. Contains net diagrams for polyhedra and much, much more. Recently reprinted. A must-buy. $17.95. Devlin, Keith. All the Math that's Fit to Print: Articles from the Manchester Guardian. Washington, DC: Math. Assoc. Amer., 1994. 345 p. $38.50. Dewdney, A.K. The Tinkertoy Computer and Other Machinations. New York: W.H. Freeman, 1995. 238 p. $?. Dudeney, Henry Ernest. Amusements in Mathematics. New York: Dover, 1958. $7.95. Fast, H. and Swierczkowski, S. (Eds.) The New Scottish Book. Warsaw, 1958. Filipiak, Anthony S. Mathematical Puzzles and Other Brain Twisters. New York: A.S. Barnes, 1964. $?. Fomin, Dmitry; Genkin, Sergey; and Itenberg, Ilia. Mathematical Circles. Providence, RI: Amer. Math. Soc., 1996. 278 p. $29. Gale, David. Tracking the Automatic Ant and Other Mathematical Explorations. New York: Springer-Verlag, 1998. $30. Gardner, Martin. Aha! Aha! Insight. New York: Scientific American, 1978. 179 p. All the Gardner books are all-time classics and belong on the shelves of devoted recreational mathematicians. $14.95. Gardner, Martin. Aha! Gotcha: Paradoxes to Puzzle and Delight. San Francisco, CA: W.H. Freeman, 1982. 164 p. $14.95. Gardner, Martin. The Colossal Book of Mathematics: Classic Puzzles, Paradoxes, and Problems. New York: W.W. Norton, 2001. 704 p. $35. Gardner, Martin. Entertaining Mathematical Puzzles. New York: Dover, 1986. $3.95. Gardner, Martin. Fractal Music, Hypercards and More: Mathematical Recreations from Scientific American Magazine. New York: W.H. Freeman, 1992. 327 p. 14th Scientific American collection. $14.95. Gardner, Martin. Hexaflexagons and Other Mathematical Diversions: The First Scientific American Books of Puzzles and Games. Chicago, IL: University of Chicago Press, 1988. 206 p. Reprint of The Scientific American. (first collection of Gardner's articles). $13. Gardner, Martin. Knotted Doughnuts and Other Mathematical Entertainments. New York: W.H. Freeman, 1986. 11th collection. $14.95. Gardner, Martin. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications. New York: Springer-Verlag, 1997. 400 p. 15th and last collection. $25. Gardner, Martin. The Magic Numbers of Dr. Matrix. Buffalo, NY: Prometheus Books, 1985. 326 p. Includes The Numerology of Dr. Matrix. $19.95. Gardner, Martin. Martin Gardner's New Mathematical Diversions from Scientific American. New York: Simon and Schuster, 1966. 253 p. 3rd collection. $?. Gardner, Martin. Mathematical Carnival: A New Round-Up of Tantalizers and Puzzles from Scientific American. New York: Vintage Books, 1977. 274 p. 7th collection. $15. Gardner, Martin. Mathematical Circus: More Puzzles, Games, Paradoxes and Other Mathematical Entertainments from Scientific American. New York: Knopf, 1979. 272 p. $21.50. Gardner, Martin. Mathematical Magic Show: More Puzzles, Games, Diversions, Illusions and Other Mathematical Sleight-Of-Mind from Scientific American. New York: Vintage, 1978. 302 p. $15. Gardner, Martin. Mathematics, Magic, and Mystery. New York: Dover, 1956. 176 p. $3.95. Gardner, Martin. New Mathematical Diversions: More Puzzles, Problems, Games, and Other Mathematical Diversions. Washington, DC: Math. Assoc. Amer., 1995. 272 p. Updated edition of Gardner's 3rd Scientific American collection. ``Martin Gardner's New Mathematical Diversions from Scientific American.'' $19.95. Gardner, Martin. The Numerology of Dr. Matrix: The Fabulous Feats and Adventures in Number Theory, Sleight of Word, and Numerological Analysis (Literary, Biblical, Political, Philosophical, and Psychonumeranalytical) of that Incredible Master Mind, First Introduced in the Pages of Scientific American. New York: Simon and Schuster, 1967. 112 p. 4th Scientific American collection. Now out in combined ed. with The Magic Numbers of Dr. Matrix. Gardner, Martin. Penrose Tiles to Trapdoor Ciphers... and the Return of Dr. Matrix. New York: Freeman, 1989. 311 p. 13th Scientific American collection. Now in reissue ed. Gardner, Martin. Penrose Tiles to Trapdoor Ciphers... and the Return of Dr. Matrix, reissue ed. Math Assoc. Amer. 312 p. 13th Scientific American collection. $27.95. Gardner, Martin. Perplexing Puzzles and Tantalizing Teasers. New York: Dover, 1988. $4.95. Gardner, Martin. Riddles of the Sphinx and Other Mathematical Puzzle Tales. Washington, DC: Math. Assoc. Amer., 1987. 184 p. $10. Gardner, Martin. The Scientific American Book of Mathematical Puzzles and Diversions. New York: NY: Simon and Schuster, 1959. 178 p. 1st Scientific American collection. Reprinted as Hexaflexagons and Other Mathematical Diversions. $13. Gardner, Martin. The Second Scientific American Book of Mathematical Puzzles and Diversions: A New Selection. New York: Simon and Schuster, 1961. 253 p. 2nd Scientific American collection. $14.95. Gardner, Martin. The Sixth Book of Mathematical Games from Scientific American. Chicago, IL: University of Chicago Press, 1984. 262 p. 6th Scientific American collection. Out of print. $?. Gardner, Martin. Time Travel and Other Mathematical Bewilderments. W. H. Freeman, 1988. 295 p. 12th Scientific American collection. $14.95. Gardner, Martin. The Unexpected Hanging and Other Mathematical Diversions. Chicago, IL: Chicago University Press, 1991. 5th Scientific American collection. $15.95. Gardner, Martin. Wheels, Life, and other Mathematical Amusements. New York: W.H. Freeman, 1983. 261 p. Scientific American collection. $14.95. Greenblatt, M.H. Mathematical Entertainments. Crowell, 1965. Out of print. Guy, Richard K. and Woodrow, Robert E. (Eds.). The Lighter Side of Mathematics: Proceedings of the Eugène Strens Memorial Conference on Recreational Mathematics and its History. Washington, DC: Math. Assoc. Amer., 1994. 376 p. $42.95. Hoffman, Paul. Archimedes' Revenge: The Joys and Perils of Mathematics. New York: W.W. Norton, 1988. 285 p. $5.99. Hunter, James Alston Hope. Mathematical Brain-Teasers. New York: Dover, 1976. 111 p. $4.95. Hunter, James Alston Hope and Madachy, Joseph S. Mathematical Diversions. New York: Dover, 1975. 178 p. Out of print. $3.95. Jacobs, Harold R. Mathematics: A Human Endeavor: A Textbook for Those Who Think They Don't Like the Subject. San Francisco, CA: W.H. Freeman, 1970. Jacoby, Oswald and Benson, William H. Intriguing Mathematical Problems. New York: Dover, 1998. 191 p. $6.95. Jayne, Caroline Furness. String Figures and How to Make Them: A Study of Cat's-Cradle in Many Lands. New York: Dover, 1975. 407 p. $?. Johnson, Susan. The Fun with Tangrams Kit: 120 Puzzles with Two Complete Sets of Tangram Pieces. New York: Dover, 1977. 32 p. $4.95. Julius, Edward H. Rapid Math Tricks and Tips. New York: Wiley, 1992. 229 p. $14.95. Julius, Edward H. More Rapid Math Tricks and Tips. New York: Wiley, 1996. $12.95. Klarner, David A. (Ed). Mathematical Recreations: A Collection in Honor of Martin Gardner. New York: Dover, 1998. 382 p. Excellent book on recreational mathematics topics. Highly recommended. $14.95. Knuth, Donald Elvin. The Stanford GraphBase: A Platform for Combinatorial Computing. ACM Press and Addison-Wesley, 1994. approx. 600 pp. Fact-filled book containing fascinating trivia on words. $50.95. Körner, T.W. The Pleasures of Counting. Cambridge, England: Cambridge University Press, 1997. 534 p. $35.95. Kraitchik, Maurice. Mathematical Recreations. New York: Norton, 1942. A classic which is sadly out of print. $6.95. Langman, H. Play Mathematics. New York: Hafner, 1962. Out of print. Licks, H.E. Recreations in Mathematics. New York: D. Van Nostrand, 1921. Out of print. Lucas, Edouard. Récréations Mathématiques, 4 vols. Paris: Gauthier-Villars et fils, 1881-1894. 254+245+200+266 p. Reprinted by A. Blanchard, 1960-74. Madachy, Joseph S. Madachy's Mathematical Recreations. New York: Dover, 1979. 256 p. Republication of ``Mathematics of vacation.'' Extremely enjoyable read full of fun tidbits, especially in the chapter on number theory. Many of Pickover's (''Keys to Infinity'') vignette appear to have originated here. $4.95. Madachy, Joseph S. Mathematics on Vacation. New York: Scribner, 1975. 251 p. In print in newer ed. under the title Madachy's Mathematical Recreations. $?. Mauldin, R.D. (Ed.) The Scottish Book: Math at the Scottish Cafe. Boston, MA: Birkhäuser, 1982. $?. Merrill, H. Mathematical Excursions. Out of print. $?. Mott-Smith, Geoffrey. Mathematical Puzzles for Beginners and Enthusiasts, 2nd rev. ed. New York: Dover, 1954. 248 p. $7.95. O'Beirne, T. H. Puzzles and Paradoxes: Fascinating Excursions in Recreational Mathematics. New York: Dover, 1984. 238 p. $?. Ogilvy, C. Stanley. Excursions in Mathematics. New York: Dover, 1994. 162 p. Originally published as Through the Mathscope. $6.95. Ogilvy, C. Stanley. Through the Mathscope. Oxford University Press. Now out in Dover ed. retitled Excursions in Mathematics. Ozanam. Rècréations mathématiques et physiques. 1840. Peterson, Ivars. Islands of Truth: A Mathematical Mystery Cruise. New York: Freeman, 1990. 325 p. Interesting book. $?. Peterson, Ivars. The Jungles of Randomness: A Mathematical Safari. New York: Wiley, 1997. 240 p. $24.95. Peterson, Ivars. The Mathematical Tourist: Snapshots of Modern Mathematics. New York: W.H. Freeman, 1988. 240 p. Now out in 2nd ed. Peterson, Ivars. The Mathematical Tourist: New and Updated Snapshots of Modern Mathematics. New York: W.H. Freeman, 1998. 256 p. $14.95. Peterson, Ivars. Mathematical Treks: From Surreal Numbers to Magic Circles. Washington, DC: Math. Assoc. Amer., 2001. 170 p. $29.95. Phillips, Hubert. My Best Puzzles in Mathematics. New York: Dover, 1961. $4.95. Pickover, C.A. Keys to Infinity. New York: W.H. Freeman, 1995. An excellent and entertaining series of digressisonary short chapters on mathematical topics. Many vignettes seem to have been taken from Madachy. $16.95. Pickover, Clifford A. Wonders of Numbers: Adventures in Mathematics, Mind, and Meaning. Oxford, England: Oxford University Press, 2001. 396 p. $?. Rademacher, Hans and Toeplitz, Otto. The Enjoyment of Mathematics: Selections from Mathematics for the Amateur. Princeton, NJ: Princeton University Press, 1957. 204 p. A classic. $5.95. Ransom, William R. One Hundred Mathematical Curiosities. Walch, 1955. Out of print. Read, Ronald C. Tangrams: 330 Puzzles. New York: Dover, 1965. 152 p. $5.95. Schönberg, Isaac J. Mathematical Time Exposures. The Math. Assoc. Amer., 1982. $10. Schaaf, William Leonard. A Bibliography of Recreational Mathematics, Vol. 1. Washington, DC: National Council of Teachers of Mathematics, 1978. Out of print. $?. Schaaf, William Leonard. A Bibliography of Recreational Mathematics, Vol. 3. Washington, DC: National Council of Teachers of Mathematics, 1978. Out of print. $?. Schuh, Fred. Master Book of Mathematical Recreations. New York: Dover, 1969. $7.95. Simon, William. Mathematical Magic. New York: Dover, 1993. 192 p. $5.95. Singmaster, David. Sources in Recreational Mathematics: An Annotated Bibliography, 7th prelim, ed. Published by the author. Slocum, Jerry. The Tangram Book: The Story of the Chinese Puzzle with Over 2000 Puzzles to Solve. New York: Sterling, 2003. 192 p. $19.95. Sprague, Roland. Recreations in Mathematics: Some Novel Puzzles. Out of print? London: Blackie and Sons, 1963. Steinhaus, Hugo. Mathematical Snapshots, 3rd ed. New York: Dover, 1999. 320 p. An all-time classic containing a wealth of interesting mathematical topics presented in an enjoyable style. Belongs on the shelf of every recreational mathematician. $12.95. Stweart, Ian. Flatterland: Like Flatland, Only More So. Perseus Publishing, 2001. 301 p. $25. Sticker, Henry. How to Calculate Quickly: Full Speed Arithmetic. New York: Dover, 1955. 185 p. $3.95. Stoschek, Erwin P. and Schönfeld, Dagmar. Computergraphik im Spannungsfeld zwischen Algorithmus und Phatasie. Thun und Franfurt am Main, Germany: Verlag Harri Deutsch, 2000. 299 p. ISBN: 3817116403. $?. Vardi, Ilan. Computational Recreations in Mathematica. Redwood City, CA: Addison-Wesley, 1991. 304 p. Interesting book with many unexpected twists and a great reference list. That said, it's overpriced for a 304 pp. paperback. $35.95. Wells, David Graham. Hidden Connections, Double Meanings: A Mathematical Exploration. Cambridge, England: Cambridge University Press, 1988. 164 p. $19.95. Wells, David. The Penguin Books of Curious and Interesting Mathematics. New York: Penguin, 1997. 319 p. $11.95. Wells, David. The Penguin Dictionary of Curious and Interesting Geometry. London: Penguin Books, 1991. 283 p. A gem of a book. Contains an alphabetical listing of many, well, curious and interesting terms and figures from geometry. The diagrams are also very nicely done. Highly recommended. $21. Wells, David Graham. You Are a Mathematician: A Wise and Witty Introduction to the Joy of Numbers. New York: Wiley, 1997. 432 p. $24.94.