John H. Conway

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John Horton Conway, a British mathematician and Professor Emeritus at Princeton University. His research interests include the theory of finite groups, knot theory, number theory, coding theory and quantum physics. He is best known for the invention of the Game of Life, and for the co-development of combinatorial game theory along with a remarkable new way to construct numbers as introduced in his 1976 book On Numbers and Games. His surreal numbers were subject of a mathematical novel by Donald Knuth.

=Winning Ways= Winning Ways for your Mathematical Plays by Elwyn Berlekamp, John H. Conway, and Richard K. Guy is a compendium of information on mathematical games, first published 1982 in two volumes, second edition published in four volumes from 2001 until 2004.

=Selected Publications=

1970 ...

 * John H. Conway (1971). Regular Algebra and Finite Machines. Chapman and Hall, London
 * John H. Conway (1976). On Numbers and Games. Academic Press
 * John H. Conway, Vera Pless, Neil Sloane (1979). Self-dual codes over GF(3) and GF(4) of length not exceeding 16. IEEE Transactions on Information Theory, Vol. 25, No. 3
 * John H. Conway, Simon P. Norton (1979). Monstrous Moonshine. Bulletin of the London Mathematical Society, Vol. 11, 308–339

1980 ...

 * John H. Conway (1980). On the Enumeration of Self-Dual Codes. Journal of Combinatorial Theory, Series A, Vol. 28
 * Elwyn Berlekamp, John H. Conway, Richard K. Guy (1982). Winning Ways for your Mathematical Plays. Vol. 1, 1st edition, Academic Press
 * Elwyn Berlekamp, John H. Conway, Richard K. Guy (1982). Winning Ways for your Mathematical Plays. Vol. 2, 1st edition, Academic Press
 * John H. Conway, Neil Sloane (1988). Sphere Packing, Lattices and Groups. Springer

1990 ...

 * Richard K. Guy, John H. Conway, Elwyn Berlekamp, Vera Pless, Aviezri Fraenkel, Richard J. Nowakowski (1991). Combinatorial Games. Proceedings of Symposia in Applied Mathematics, No. 43
 * John H. Conway (1996). The Angel Problem. in Richard J. Nowakowski (ed) (1996). Games of No Chance, MSRI Publications Volume 29, Cambridge University Press, Papers from the Combinatorial Games Workshop held in Berkeley, CA, July 11–21, 1994
 * John H. Conway, Neil Sloane (1998). Sphere Packing, Lattices and Groups. 3rd edition, Springer

2000 ...

 * John H. Conway (2001). On Numbers and Games. 2nd edition, A K Peters Ltd.
 * Elwyn Berlekamp, John H. Conway, Richard K. Guy (2001). Winning Ways for your Mathematical Plays. Vol. 1, 2nd edition, A K Peters Ltd.
 * Elwyn Berlekamp, John H. Conway, Richard K. Guy (2003). Winning Ways for your Mathematical Plays. Vol. 2, 2nd edition, A K Peters Ltd.
 * Elwyn Berlekamp, John H. Conway, Richard K. Guy (2003). Winning Ways for your Mathematical Plays. Vol. 3, A K Peters Ltd.
 * Elwyn Berlekamp, John H. Conway, Richard K. Guy (2004). Winning Ways for your Mathematical Plays. Vol. 4, A K Peters Ltd.
 * John H. Conway, Noam D. Elkies, Jeremy L. Martin (2006). The Mathieu Group M 12 and Its Pseudogroup Extension M 13. Experimental Mathematics, Vol. 15, No. 2
 * John H. Conway, Simon B. Kochen (2006). The Free Will Theorem. arXiv:quant-ph/0604079
 * John H. Conway, Simon B. Kochen (2007). Thou Shalt Not Clone One Bit!. arXiv:0711.2310
 * John H. Conway, Simon B. Kochen (2008). The Strong Free Will Theorem. arXiv:0807.3286

2010 ...

 * William Cavendish, John H. Conway (2010). Symmetrically Bordered Surfaces. The American Mathematical Monthly 117, pdf
 * John H. Conway (2013). On Unsettleable Arithmetical Problems. The American Mathematical Monthly 120
 * Siobhan Roberts (2015). Genius at Play - The Curious Mind of John Horton Conway. Bloomsbury Publishing, YouTube Video

=External Links=

John H. Conway

 * John Conway | Department of Mathematics
 * John Horton Conway from Wikipedia
 * The Mathematics Genealogy Project - John Conway
 * Conway biography - MacTutor
 * John Conway - АдептИС: Под знаком Leonardo da Vinci (Russian)

Topics

 * Angel problem from Wikipedia
 * Conway's Game of Life from Wikipedia
 * Conway group from Wikipedia
 * Conway notation (knot theory) from Wikipedia
 * Conway polyhedron notation from Wikipedia
 * Doomsday rule from Wikipedia
 * Free will theorem from Wikipedia
 * Hackenbush from Wikipedia
 * Monstrous moonshine from Wikipedia

Videos

 * Inventing Game of Life - Numberphile, YouTube Video


 * Stanley Clarke Band - Life Is Just a Game, North Sea Jazz Festival 1981, YouTube Video
 * Stanley Clarke, Simon Phillips, Steve Bach, Charles “Icarus” Johnson

=References=

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