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Recreational Mathematics: Surveys

*** Ball, W.W. Rouse and Coxeter, H.S.M. Mathematical Recreations and Essays, Mineola, NY: Dover, 1987. Thirteenth Edition.

* Beiler, Albert. Recreations in the Theory of Numbers Mineola, NY: Dover, 1964.

*** Berlekamp, Elwyn R.; Conway, John Horton; and Guy, Richard K. Winning Ways for Your Mathematical Plays, New York, NY: Academic Press, 1982. 2 Vols.

Cadwell, J.H. Topics in Recreational Mathematics New York, NY: Cambridge University Press, 1966.

Foster, James E. Mathematics as Diversion Astoria, IL: Fulton County Press, 1978.

*** Kraitchik, Maurice. Mathematical Recreations, Mineola, NY: Dover, 1953. Second Edition.

* Melzak, Z.A. Companion to Concrete Mathematics, New York, NY: John Wiley, 1973, 1976. 2 Vols.

** Ogilvy, C. Stanley. Tomorrow's Math: Unsolved Problems for the Amateur, New York, NY: Oxford University Press, 1972. Second Edition.

Peter, Rozsa. Playing with Infinity: Mathematical Explorations and Excursions Mineola, NY: Dover, 1976.

Schuh, Fred. The Master Book of Mathematical Recreations Mineola, NY: Dover, 1968.

Sprague, Roland. Recreation in Mathematics Mineola, NY: Dover, 1963.

Recreational Mathematics: Games and Puzzles

ApSimon, Hugh. Mathematical Byways in Ayling, Beeling, and Ceiling New York, NY: Oxford University Press, 1984.

* Beasley, John D. The Ins and Outs of Peg Solitaire New York, NY: Oxford University Press, 1985.

Bell, Robbie and Cornelius, Michael. Board Games Round the World: A Resource Book for Mathematical Investigations New York, NY: Cambridge University Press, 1990.

Berrondo, Marie. Mathematical Games Englewood Cliffs, NJ: Prentice Hall, 1983.

Brandreth, Gyles. Numberplay New York, NY: Rawson, 1984.

** Carroll, Lewis. Mathematical Recreations of Lewis Carroll, Mineola, NY: Dover, 1958. 2 Vols.

Domoryad, A.P. Mathematical Games and Pastimes Elmsford, NY: Pergamon Press, 1963.

** Eiss, Harry Edwin. Dictionary of Mathematical Games, Puzzles, and Amusements Westport, CT: Greenwood Press, 1988.

* Ewing, John and Kosniowski, Czes. Puzzle It Out: Cubes, Groups and Puzzles New York, NY: Cambridge University Press, 1982.

Frey, Alexander H., Jr. and Singmaster, David. Handbook of Cubik Math Hillside, NJ: Enslow, 1982.

** Hordern, Edward. Sliding Piece Puzzles New York, NY: Oxford University Press, 1986.

Lines, Malcolm. Think of a Number New York, NY: Adam Hilger, 1990.

** O'Beirne, T.H. Puzzles and Paradoxes: Fascinating Excursions in Recreational Mathematics Mineola, NY: Dover, 1984.

* Read, Ronald C. Tangrams---330 Puzzles Mineola, NY: Dover, 1965.

Rubik, Erno, et al. Rubik's Cubic Compendium New York, NY: Oxford University Press, 1987.

Stewart, Ian. Game, Set, and Math: Enigmas and Conundrums Cambridge, MA: Basil Blackwell, 1989.

Recreational Mathematics: Puzzle Collections

Barr, Stephen. Mathematical Brain Benders: 2nd Miscellany of Puzzles Mineola, NY: Dover, 1982.

Berloquin, Pierre. The Garden of the Sphinx: 150 Challenging and Instructive Puzzles New York, NY: Charles Scribner's, 1985.

Bryant, Victor and Postill, Ronald, eds. The Sunday Times Book of Brain Teasers New York, NY: St.~Martin's Press, 1982.

** Dudeney, Henry E. Amusements in Mathematics Mineola, NY: Dover, 1958.

Dudeney, Henry E. The Canterbury Puzzles Mineola, NY: Dover, 1958.

*** Dudeney, Henry E. 536 Puzzles and Curious Problems New York, NY: Charles Scribner's, 1967.

Dunn, Angela. Mathematical Bafflers Mineola, NY: Dover, 1980.

* Fujimura, Kobon. The Tokyo Puzzles New York, NY: Charles Scribner's, 1978.

Fulves, Karl. Self-Working Number Magic: 101 Foolproof Tricks Mineola, NY: Dover, 1983.

*** Gardner, Martin, ed. The Mathematical Puzzles of Sam Loyd, Mineola, NY: Dover, 1959. 2 Vols.

Hurley, James F. Litton's Problematical Recreations New York, NY: Van Nostrand Reinhold, 1971.

Kordemsky, Boris A. The Moscow Puzzles: 359 Mathematical Recreations New York, NY: Charles Scribner's, 1972.

Langman, Harry. Play Mathematics New York, NY: Hafner Press, 1962.

** Loyd, Sam. Sam Loyd's Cyclopedia of 5000 Puzzles, Tricks, and Conundrums New York, NY: Pinnacle, 1976.

Mott-Smith, Geoffrey. Mathematical Puzzles Mineola, NY: Dover, 1954.

* Northrop, Eugene P. Riddles in Mathematics: A Book of Paradoxes Melbourne, FL: Robert E. Krieger, 1975.

** Phillips, Hubert. My Best Puzzles in Mathematics Mineola, NY: Dover, 1961.

** Phillips, Hubert. My Best Puzzles in Logic and Reasoning Mineola, NY: Dover, 1961.

Scripture, Nicholas E. Puzzles and Teasers London: Faber and Faber, 1970.

Shasha, Dennis. The Puzzling Adventures of Dr. Ecco New York, NY: W.H. Freeman, 1988.

* Silverman, David L. Your Move New York, NY: McGraw-Hill, 1971.

Smullyan, Raymond M. Alice in Puzzleland New York, NY: Morrow, 1982.

Smullyan, Raymond M. The Chess Mysteries of Sherlock Holmes New York, NY: Alfred A. Knopf, 1979.

* Smullyan, Raymond M. The Lady or the Tiger? And Other Logic Puzzles New York, NY: Alfred A. Knopf, 1982.

* Smullyan, Raymond M. What is the Name of This Book? The Riddle of Dracula and Other Logical Puzzles Englewood Cliffs, NJ: Prentice Hall, 1978.

Recreational Mathematics: Contests and Problems

*** Barbeau, Edward J.; Klamkin, Murray S.; and Moser, William, eds. 1001 Problems in High School Mathematics Montreal: Canadian Mathematical Congress, 1977.

** Gleason, Andrew M.; Greenwood, R.E.; and Kelly, L.M. The William Lowell Putnam Mathematical Competition: Problems and Solutions, 1938--1964 Washington, DC: Mathematical Association of America, 1980.

Graham, L.A. The Surprise Attack in Mathematical Problems Mineola, NY: Dover, 1968.

* Graham, L.A. Ingenious Mathematical Problems and Methods Mineola, NY: Dover, 1959.

*** Greitzer, Samuel L. International Mathematical Olympiads, 1959--1977 Washington, DC: Mathematical Association of America, 1978.

* Hardy, Kenneth and Williams, Kenneth S. The Green Book: 100 Practice Problems for Undergraduate Mathematics Competitions Ottawa: Integer Press, 1985.

*** Klamkin, Murray S. International Mathematical Olympiads, 1978--1985 and Forty Supplementary Problems Washington, DC: Mathematical Association of America, 1986.

*** Klamkin, Murray S. U.S.A. Mathematical Olympiads, 1972--1986 Washington, DC: Mathematical Association of America, 1988.

Klamkin, Murray S., ed. Problems in Applied Mathematics: Selections from SIAM Review Philadelphia, PA: Society for Industrial and Applied Mathematics, 1990.

Kurschak, J. Hungarian Problem Books I and II Washington, DC: Mathematical Association of America, 1963.

* Larson, Loren C. Problem-Solving Through Problems New York, NY: Springer-Verlag, 1983.

Mbili, L.S.R. Mathematical Challenge! One Hundred Problems for the Olympiad Enthusiast Rondebosch, South Africa: Math Digest, 1978.

* Newman, Donald J. A Problem Seminar New York, NY: Springer-Verlag, 1982.

Ruderman, Harry D., ed. NYSML-ARML Contests, 1973--1985, Reston, VA: National Council of Teachers of Mathematics, 1987. Second Edition.

** Salkind, Charles T., et al., eds. Contest Problem Book, Washington, DC: Mathematical Association of America, 1961--83. 4 Vols.

Yaglom, A.M. and Yaglom, I.M. Challenging Mathematical Programs with Elementary Solutions, Mineola, NY: Dover, 1987. 2 Vols.

Recreational Mathematics: Martin Gardner

* Gardner, Martin. Aha! Insight New York, NY: W.H. Freeman, 1978.

* Gardner, Martin. Hexaflexagons and Other Mathematical Diversions Chicago, IL: University of Chicago Press, 1988.

* Gardner, Martin. Knotted Doughnuts and Other Mathematical Entertainments New York, NY: W.H. Freeman, 1986.

* Gardner, Martin. Martin Gardner's New Mathematical Diversions from Scientific American Chicago, IL: University of Chicago Press, 1983.

* Gardner, Martin. Martin Gardner's Sixth Book of Mathematical Diversions from Scientific American Chicago, IL: University of Chicago Press, 1983.

* Gardner, Martin. Mathematical Carnival Washington, DC: Mathematical Association of America, 1989.

* Gardner, Martin. Mathematical Circus: More Games, Puzzles, Paradoxes, and Other Mathematical Entertainments from Scientific American New York, NY: Alfred A. Knopf, 1979.

* Gardner, Martin. Mathematical Magic Show Washington, DC: Mathematical Association of America, 1990.

* Gardner, Martin. Mathematics, Magic and Mystery Mineola, NY: Dover, 1956.

* Gardner, Martin. Penrose Tiles to Trapdoor Ciphers New York, NY: W.H. Freeman, 1989.

* Gardner, Martin. Riddles of the Sphinx And Other Mathematical Puzzle Tales Washington, DC: Mathematical Association of America, 1987.

Gardner, Martin. Science Fiction Puzzle Tales New York, NY: Clarkson N. Potter, 1981.

* Gardner, Martin. The Magic Numbers of Dr. Matrix Buffalo, NY: Prometheus Books, 1985.

* Gardner, Martin. The Scientific American Book of Mathematical Puzzles and Diversions New York, NY: Simon and Schuster, 1959.

* Gardner, Martin. The Second Scientific American Book of Mathematical Puzzles and Diversions New York, NY: Simon and Schuster, 1961.

* Gardner, Martin. Time Travel and Other Mathematical Bewilderments New York, NY: W.H. Freeman, 1987.

* Gardner, Martin. Wheels, Life, and Other Mathematical Amusements New York, NY: W.H. Freeman, 1983.

Recreational Mathematics: Miscellany

** Golomb, Solomon W. Polyominoes New York, NY: Charles Scribner's, 1965.

Greenblatt, M.H. Mathematical Entertainments London: George Allen and Unwin, 1968.

Heafford, Philip. The Math Entertainer New York, NY: Vintage Press, 1983.

*** Klarner, David A., ed. The Mathematical Gardner Boston, MA: Prindle, Weber and Schmidt, 1981.

** Lindgren, Harry. Geometric Dissections New York, NY: Van Nostrand Reinhold, 1964.

Madachy, Joseph S. Mathematics on Vacation New York, NY: Charles Scribner's, 1966.

* Maxwell, E.A. Fallacies in Mathematics New York, NY: Cambridge University Press, 1959.

* Schattschneider, Doris J. and Walker, Wallace. M.C. Escher Kaleidocycles New York, NY: Ballantine Books, 1978.

Simon, William. Mathematical Magic New York, NY: Charles Scribner's, 1964.

* Smullyan, Raymond M. To Mock a Mockingbird New York, NY: Alfred A. Knopf, 1985.

* Smullyan, Raymond M. Forever Undecided: A Puzzle Guide to Godel New York, NY: Alfred A. Knopf, 1987.