by Wells, David
Browne, C. (2000) Hex Strategy: Making the Right Connections, A K Peters.
Browne, C. (2005) Connection Games, A K Peters.
Castelvecchi, D. (2006) Out of the void, New Scientist, 12 Aug. 2006.
Conway, J. H. (1976/2000) On Numbers And Games, Academic Press; 2nd revised edition, A K Peters.
Coolidge, J. L. (1949) The Mathematics of Great Amateurs, Clarendon Press.
Culin, S. (1896) Mankala, the National Game of Africa, US National Museum Annual Report, Washington, pp. 595–607.
Culin, S. (1975) Games of the North American Indians: Dover; facsimile reprint of the original 1907 edition, which was the Accompanying Paper of the Twenty-fourth Annual Report of the Bureau of American Ethnology of the Smithsonian Institution, 1902–1903, by W. H. Holmes.
Dalpé, D. (1998) Schwarz's Surface and the Theory of Minimal Surfaces, a thesis at Concordia University, Canada, www.collectionscanada.ca.
Davis, P. J. (1995) The rise, fall, and possible transfiguration of triangle geometry, American Mathematical Monthly, 102–3, 204–14.
Descartes, R. (1996) Oeuvres de Descartes, eds. C. Adam & P. Tannery, Vrin, Paris.
Dickson, L. E. (1971) History of the Theory of Numbers, 3 vols., Chelsea Publishing Company.
Dudeney, H. E. (1907) The Canterbury Tales and other Curious Problems, Thomas Nelson. Reprinted Dover 2002. Also available @ Gutenberg Project.
Dyson, F. J. (1983) Unfashionable pursuits, The Mathematical Intelligencer, 5–3.
Einstein, A. (1921) Geometry and experience, lecture before the Prussian Academy of Science in Berlin on Jan 27, 1921, reprinted in Einstein 1983.
Einstein, A. (1983) Sidelights on Relativity, Dover.
Engquist, B. & Schmid, W. (eds.) (2000) Mathematics Unlimited, 2001 and Beyond, Springer.
Epstein, D. & Levy, S. (1995) Experimentation and proof in mathematics, Notices of the American Mathematical Society, 42–6, 670–674.
Euler, L. (1760a) De seriebus divergentibus, in Opera Omnia series 1, Vol. 14, 585–617, translated in Barbeau & Leah 1976.
Euler, L. (1760b) Exemplum memorabile inducionis fallacis, Opera Omnia series 1, vol. 15, 50–69.
Evelyn, C. J. A., Money-Coutts, G. B. & Tyrrell, J. A. (1974) The Seven Circles Theorem and other New Theorems, Stacey International.
Felix, L. (1960) The Modern Aspect of Mathematics, Basic Books.
Fennema, E. & Leder, G. C. (eds.) (1990) Mathematics and Gender, Teachers College Press.
Fine, R. & Fine, B. (1977) The mathematician as a healthy narcissist, in Nelson 1977, Chapter 9.
Fink, T. & Mao, Y. (2001) The 85 Ways to Tie a Tie: the Science and Aesthetics of Tie Knots, Fourth Estate.
Finkel, I. (ed.) (2006) Ancient Boardgames in Perspective, British Museum Press.
Foley, M. (1990) Laws, Men and Machines: Modern American Government and the Appeal of Newtonian Mechanics, Routledge.
Frame, M. L. & Mandelbrot, B. B. (2002) Fractals, Graphics, & Mathematics Education, Mathematical Association of America.
Frege, G. (1884/1953) The Foundations of Arithmetic: A Logico-mathematical Inquiry into the Concept of Number, trans. J. L. Austin, Basil Blackwell.
Gautschi, W. (1994) Mathematics of Computation 1943–1993: A Half-Century of Computational Mathematics, American Mathematical Society.
Golomb, S. (1965) Polyominoes, Allen & Unwin. Revised edition: Polyominoes: Puzzles, Patterns, Problems, and Packings, Princeton University Press, 1996.
Goodstein, R. L. (1938) Geometry in modern dress, The Mathematical Gazette, XXII, no. 250.
Goodstein, R. L. & Primrose, E. J. F. (1953) Axiomatic Projective Geometry, University College, Leicester.
Goodstein, R. L. (1957) Recursive Number Theory, North-Holland.
Goodstein, R. L. (1965) Essays on the Philosophy of Mathematics, Leicester University Press.
Griffiths, P. A. (2000) Mathematics at the turn of the millennium, The American Mathematical Monthly, 107–1: 1–14.
Hadamard, J. (1945) The Psychology of Invention in the Mathematical Field, Princeton University Press.
Hadfield, O. D. & Maddux, C.-D. (1988) Cognitive style and mathematics anxiety among high school students, Psychology in the Schools, 25–1, 75–83.
Haimo, D. T. (1995) Experimentation and conjecture are not enough, The American Mathematical Monthly, 102–2, 102–112.
Halmos, P. R. (1987) Why is a congress?, The Mathematical Intelligencer, 9–2.
Hamming, R. W. (1998) Mathematics on a distant planet, The AMM, 105–7, 640–650.
Hanna, G. (1996) The ongoing value of proof, PME Conference XX, vol. 1, Valencia, Spain.
Hannak, J. (1959/1991) Emanuel Lasker, The Life of a Chess Master, Andre Deutsch, reprinted Dover.
Hardy, G. H. (1908) letter, Mendelian proportions in a mixed population, Science, 28, 49–50.
Hardy, G. H. (1915) Prime numbers, reprinted in Hardy 1967: vol. 2.
Hardy, G. H. (1920) Some famous problems of the theory of numbers, reprinted in Hardy 1967: vol. 2.
Hardy, G. H. (1934) letter, The J-type and the S-type among mathematicians, Nature, 7, 134.
Hardy, G. H. (1940) Ramanujan, 12 Lectures on his Life and Work, Cambridge University Press.
Hardy, G. H. (1941/1969) A Mathematician's Apology, Cambridge University Press.
Hardy, G. H. (1946) Review of Hadamard, The Psychology of Invention in the Mathematical Field, The Mathematical Gazette, 30, 111–115.
Hardy, G. H. (1949) Divergent Series, Clarendon Press.
Hardy, G. H. (1967) Collected papers of G.H. Hardy, vols. 1–2, Clarendon Press.
Hardy, G. H. & Littlewood, J. E. (1923) Some problems of “partitio numerorum”: III: On the expression of a number as the sum of primes, Acta Mathematica 1:1–170. Reprint: Hardy 1967 vol. 1 561–630.
Harris, M. (1997) An example of traditional women's work as a mathematics resource, in Powell & Frankenstein 1997, p. 220.
Heath, T. L. (1908) The Thirteen Books of Euclid's Elements, Cambridge University Press.
Heath, T. L. (1910) Diophantus, of Alexandria, a Study in the History of Greek Algebra, Cambridge University Press.
Heath, T. L. (1921) A History of Greek Mathematics, Clarendon Press.
Hearn, R. A. & Demaine, E. D. (2009) Games, Puzzles and Computation, A K Peters.
Henle, J. (1996) Classical mathematics, baroque mathematics, romantic mathematics, mathematics jazz! Also atonal, new age, minimalist, and punk mathematics, American Mathematical Monthly, January 1996.
Hilbert, D. (1900) Mathematical problems, International Congress of Mathematicians, reprinted in Browder 1983.
Hilbert, D. & Cohn-Vossen, S. (1952) Geometry and the Imagination, Chelsea.
Hobson, E. W. (1910) Address to the British Association for the Advancement of Science, Section A, Mathematical and Physical Sciences.
Hofstadter, D. (1979) Gödel, Escher, Bach: An Eternal Golden Braid, Basic Books.
Hutchins, (ed.) (1952) Euclid, Archimedes, Apollonius of Perga, Nichomachus, Great Books of the Western World, vol. 11, Encyclopaedia Britannica.
Jeffreys, H. & Jeffreys, B. S. (1946) Methods of Mathematical Physics, Cambridge University Press.
Jesseph, D. M. (2007) Descartes, Pascal, and the epistemology of mathematics: the case of the cycloid, Perspectives in Science, 15–4, MIT.
Keene, R. (2006) ‘Ludimus effigiem belli, simulatque veris’: first sentence of the poem, Scacchia ludus, by the Bishop of Alba and Cremona, quoted in ‘Image of War’, Raymond Keene's chess column in The Spectator, 8 April 2006.
Kepler, J. (1611) Dioptrice.
Kline, M. (1980) Mathematics: The Loss of Certainty, Oxford University Press.
Kline, M. (1983) Euler and infinite series, Mathematics Magazine, 56–5, 307–314.
Knopp, K. (1928) Theory and Application of Infinite Series, Blackie.
Krull, W. (1987) trans. B. S. & W. C. Waterhouse, The aesthetic viewpoint in mathematics, The Mathematical Intelligencer, 9–1.
/> Lakatos, I. (1976) Proofs and Refutations: The Logic of Mathematical Discovery, eds. J. Worral & E. V. Zahar, Cambridge University Press.
Lasker, E. (1911) The Rules of Lasca, the Great Military Game.
Lasker, E. (1925/1931) Brettspiele der Volker, A. Scherl.
Lasker, E. (1907) Struggle, Lasker's Publishing Company.
Lasker, E. (1940) The Community of the Future, M. J. Bernin.
Leibniz, G. W. (1865) Machina arithmetica in qua non adaito tantum et subtractio sed et multiplicatio nullo, divisio vero paene nullo animi labore peragantur.
Lemon, D. (1890) Everybody's Illustrated Book of Puzzles, Saxon & Co.
Lionnais, F. Le (2004) Great Currents of Mathematical Thought, Dover.
Littlewood, J. E. (1963/1986) Littlewood's Miscellany, ed. B. Bollobas, Cambridge University Press.
Loomis, E. S. (1940/1972) The Pythagorean Proposition, reprinted National Council of Teachers, Washington.
Lucas, É. (1882–94) Récréations Mathématiques, 4 vols., Gauthier-Villars.
Mackay, A. L. (1994) Dictionary of Scientific Quotations, Adam Hilger.
MacLane, S. (1983) The health of mathematics, The Mathematical Intelligencer, 5–4.
Madhava (n.d) Entry in the MacTutor History of Mathematics, J. J. O’Connor & E. F. Robertson, www-history.mcs.st-andrews.ac.uk/∼history.
Mandelbrot, B. (2006) www.misbehaviorofmarkets.com/intro.htm+frame+mandelbrot+introduction&hl=en&gl=uk&ct=clnk&cd=2.
McLean, T. (1983) The English at Play in the Middle Ages, The Kensal Press.
Manin, J. I. (1979) How convincing is a proof, The Mathematical Intelligencer, 2–1, 17–24.
Mathias, A. R. D. (1992) The ignorance of Bourbaki, Eureka 1987, revised version, The Mathematical Intelligencer, 14–3, 4–13.
Maupertuis, de, P. L. N. (1746) Le lois de mouvement et du repos, déduites d'un principe de métaphysique, Mém. Ac.
Mead, M. & Wolfenstein, M. (eds.) (1955) Childhood in Contemporary Cultures, University of Chicago Press.
Midonik, H. (1968) The Treasury of Mathematics, vol. 2, Penguin.
Mikami, Y. (1961) The Development of Mathematics in China and Japan, Chelsea.
Morley, F. (1933) Inversive Geometry, G. Bell and Sons.
Mumford, D. (2002) Indra's Pearls: The Vision of Felix Klein, Cambridge University Press.
Murray, H. J. R. (1913/1952) A History of Board-games other than Chess, Clarendon Press.
Nagahara, Y. (1972) Strategic Concepts, Ishi Press.
Nahin, P. J. (1988/2002) Oliver Heavyside: the Life, Work, and Times of an Electrical Genius of the Victorian Age, Johns Hopkins University Press.
Nayakama, S. (1975) Japanese scientific thought: Mathematics, in Dictionary of Scientific Biography, Scribner.
Neumann, von, J. (1947) The mathematician, reprinted in Newman 1956, vol. 4.
Newman, J. R. (1956) The World of Mathematics, 4 vols, George Allen & Unwin.
Newton, I. (1676) Letter to H. Oldenburg, the Secretary of the Royal Society, October 24, 1676, reprinted in Struik 1990.
Newton, I. (1687) Principia Mathematica.
Novcic, S. D. (1986) Sah i Matematika, Zavod za Udzbenike i Nastavna Sredstva.
O’Connor, J. J. & Robertson, E. F. (2006) MacTutor History of Mathematics; www-history.mcs.st-andrews.ac.uk/∼history.
Papert, S. A. (1988) The mathematical unconscious, in J. Wechsler, ed., On Aesthetics in Science, Birkhäuser, Boston, MA.
Penrose, R. (1974) The role of aesthetics in pure and applied mathematical research, Bulletin of the Institute of Mathematics and its Applications, 10.
Piaggio, H. T. T. (1943) writing in Nature, quoted in Nahin 1988/2002, p. 217.
Pinn, K. (1998) Order and chaos in Hofstadter's Q(n) sequence, http://arxiv.org/abs.chao-dyn/9803012.
Poincarè, H. (1956) Mathematical creation, in James R. Newman, ed., The World of Mathematics, Simon and Schuster, 2041–2050.
Poincaré, H. (1914) trans. F. Maitland, Science and Method, Dover.
Polster, B. (2006) The Shoelace Book: A Mathematical Guide to the Best (and Worst) Ways to Lace Your Shoes, American Mathematical Society.
Polya, G. (1954) Induction and Analogy in Mathematics, Princeton University Press.
Potts, R. (1865) Euclid's Elements of Geometry, together with a Selection of Geometrical Exercises from the Senate-House and College Examination Papers, Longman, Green, Longman, Roberts & Green.
Powell, A. B. & Frankenstein, M. (eds.) (1997) Ethnomathematics: Challenging Eurocentrism in Mathematics Education, State University of New York Press.
Pritchard, C. (ed.) (2003) The Changing Shape of Geometry, Cambridge University Press.
Probert, M. (1999) The Origin of String Figures, website.lineone.net/∼m.p/sf/origin1.html.
Pullan, J. M. (1968) The History of the Abacus, Hutchinson.
Rahner, H. (1972) Man at Play, Herder and Herder.
Ravina, M. (1993) Wasan and the physics that wasn't: Mathematics in the Tokugawa period, Monumenta Nipponica, 48–2: 205–224. www.jstor.org/stable/2385528.
Reed, N. B. (1998) More than just a Game: the Military Nature of Greek Athletic Contests, Ares Publishers.
Restivo, S. P. (1992) Mathematics in Culture and Society: Sociological Inquiries, Kluwer.
Rigaud, S. R. (ed.) (1841) Correspondence of Scientific Men of the Seventeenth Century, […] printed from the originals in the collection of the Right Honourable the Earl of Macclesfield.
Robertson, J. & Webb, W. (1998) Cake-Cutting Algorithms, A K Peters.
Rota, G.-C. (1993) The lost café, Contention, 2–2, 41–61.
Rota, G.-C. (2006) The pernicious influence of mathematics upon philosophy, in: Reuben Hersh, ed., 18 Unconventional Essays on the Nature of Mathematics, Birkhäuser.
Rothman, T. (1998) Japanese temple geometry, Scientific American, May 1998.
Rotholer, B. (1999) Mehen, god of the boardgames, Board Games Studies, vol. 2, Leiden.
Rothschild, de, P. (1968) The Irrational Journey, Hamish Hamilton.
Rouse Ball, W. W. (1892) Mathematical Recreations and Problems of Past and Present Times, (later editions were titled Mathematical Recreations and Essays) Macmillan.
Russell, B. (1903) Principles of Mathematics, vol. 1, Cambridge University Press.
Russell, B. (1913) The philosophical importance of mathematical logic, The Monist, 23, 13–4, 481–493.
Russell, B. (1956) Logic and Knowledge, George Allen & Unwin.
Saunderson, N. (1740) Elements of Algebra.
Schilpp, P. A. (ed.) (1951) Albert Einstein, Philosopher-Scientist, in The Library of Living Philosophers, Open Court.
Schneider, W. (2001) Mathews, the Archive of Recreational Mathematics, wschnei.de/number-theory.html.
Schroeder, M. (1991) Fractals, Chaos, Power Laws, W. H. Freeman.
Segoe, K. (1960) Go Proverbs Illustrated, Nihon Kiin, Tokyo.
Sloane A004080: Sloane's Online Encyclopedia of Integer Sequences, sequence no. A004080.
Stevenson, G. (1961) Mathematical Methods for Science Students, Longman.
Stewart, I. (1985) Campaign for real mathematics, New Scientist, 1475.
Stillwell, J. (1998) Exceptional objects, The American Mathematical Monthly, 105–9.
Struik, D. J. (ed.) (1990) A Source Book in Mathematics, Princeton University Press.
Sylvester, J. J. (1869) The Collected Papers of James Joseph Sylvester, vol. II, Cambridge University Press.
Tani, Y. (1964) The Magic Calculator: the Way of the Abacus, Japan Publications Trading Company.
Tartakower, S. G. (1956) My Best Games of Chess 1931–1954, ed. H. Golombek, G. Bell & Sons.
Thurston, W. (1994) Proof and progress in mathematics, Bulletin of the American Mathematical Society, 30–7, 161–177, reprinted in For the Learning of Mathematics, 15–1, Feb. 1995.
Turkle, S. & Papert, S. (1990) Epistemological pluralism: styles and voices within the computer culture, Signs, 16–1, 128–157. Reprinted in Humanistic Ma
thematics Network Journal, 7, 1992, 48–9, 51.
Turner, J. C. & van de Griend, P. (1996) History and Science of Knots, World Scientific.
