John+H.+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. || toc =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.
 * Home * People * John H. Conway**
 * [[image:john_conway7.jpg link="http://www.adeptis.ru/vinci/m_part3_3.html"]] ||~ || **John Horton Conway**,
 * John H. Conway ||~ ||^ ||
 * [[image:wwauthors.jpg link="http://www.plambeck.org/oldhtml/mathematics/games/"]] ||
 * Winning Ways authors Richard K. Guy, John H. Conway, and Elwyn Berlekamp ||

=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
> media type="youtube" key="R9Plq-D1gEk" > Stanley Clarke, Simon Phillips, [|Steve Bach], Charles “Icarus” Johnson > media type="youtube" key="Hr6MtIZP0Ak" width="560"
 * Inventing Game of Life - [|Numberphile], [|YouTube] Video
 * Stanley Clarke Band - [|Life Is Just a Game], [|North Sea Jazz Festival] 1981, [|YouTube] Video

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