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John H. Conway

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'''[[Main Page|Home]] * [[People]] * John H. Conway'''

[[FILE:john_conway7.jpg|border|right|thumb|link=http://www.adeptis.ru/vinci/m_part3_3.html|John H. Conway <ref>[http://www.adeptis.ru/vinci/m_part3_3.html John Conway - АдептИС: Под знаком Leonardo da Vinci]</ref> <ref>[http://www-history.mcs.st-and.ac.uk/Biographies/Conway.html Conway biography - MacTutor]</ref> ]]

'''John Horton Conway''',<br/>
a British mathematician and Professor Emeritus at [https://en.wikipedia.org/wiki/Princeton_University Princeton University] <ref>[http://www.math.princeton.edu/directory/john-conway John Conway | Department of Mathematics]</ref>. His research interests include the theory of [https://en.wikipedia.org/wiki/Finite_group finite groups], [https://en.wikipedia.org/wiki/Knot_theory knot theory], [https://en.wikipedia.org/wiki/Number_theory number theory], [https://en.wikipedia.org/wiki/Coding_theory coding theory] <ref>[https://en.wikipedia.org/wiki/John_Horton_Conway John Horton Conway from Wikipedia]</ref> and [https://en.wikipedia.org/wiki/Quantum_mechanics quantum physics]. He is best known for the invention of the [https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life Game of Life] <ref>[[Martin Gardner]] ('''1970'''). ''[http://ddi.cs.uni-potsdam.de/HyFISCH/Produzieren/lis_projekt/proj_gamelife/ConwayScientificAmerican.htm Mathematical Games - The fantastic combinations of John Conway's new solitaire game "life"]''. [[Scientific American]], Vol. 223, pp. 120-123.</ref>, and for the co-development of [https://en.wikipedia.org/wiki/Combinatorial_game_theory combinatorial game theory] <ref>[[Richard J. Nowakowski]] ('''2009'''). ''The History of Combinatorial Game Theory''. [https://en.wikipedia.org/wiki/Dalhousie_University Dalhousie University], [http://www.eos.tuwien.ac.at/OR/Mehlmann/Andis/publ/Spielmod10/HistoryCGT.pdf pdf]</ref> along with a remarkable new way to construct numbers as introduced in his 1976 book ''[https://en.wikipedia.org/wiki/On_Numbers_and_Games On Numbers and Games]''. His [https://en.wikipedia.org/wiki/Surreal_number surreal numbers] were subject of a mathematical novel by [[Donald Knuth]] <ref>[[Donald Knuth]] ('''1974'''). ''[http://www-cs-faculty.stanford.edu/~uno/sn.html Surreal Numbers - How two ex-students turned on to pure mathematics and found total happiness]''. Addison-Wesley</ref> .

=Winning Ways=
[https://en.wikipedia.org/wiki/Winning_Ways_for_your_Mathematical_Plays Winning Ways for your Mathematical Plays] by [[Elwyn Berlekamp]], [[John H. Conway]], and [[Richard K. Guy]] is a compendium of information on [https://en.wikipedia.org/wiki/Mathematical_game mathematical games], [[Richard K. Guy#WinningWays1|first]] published 1982 in two volumes, [[Richard K. Guy#WinningWays2|second edition]] published in four volumes from 2001 until 2004.

=Selected Publications=
<ref>[http://www.informatik.uni-trier.de/~ley/pers/hy/c/Conway:John_H=.html dblp: John H. Conway]</ref> <ref>[http://web.math.princeton.edu/WebCV/ConwayBIB.pdf John H. Conway - Bibliography] (pdf)</ref>
==1970 ...==
* [[John H. Conway]] ('''1971'''). ''Regular Algebra and Finite Machines''. [https://en.wikipedia.org/wiki/Chapman_%26_Hall Chapman and Hall], London
* [[John H. Conway]] ('''1976'''). ''[https://en.wikipedia.org/wiki/On_Numbers_and_Games On Numbers and Games]''. [https://en.wikipedia.org/wiki/Academic_Press Academic Press]
* [[John H. Conway]], [[Mathematician#VPless|Vera Pless]], [[Mathematician#NSloane|Neil Sloane]] ('''1979'''). ''Self-dual codes over GF(3) and GF(4) of length not exceeding 16''. [[IEEE#TIT|IEEE Transactions on Information Theory]], Vol. 25, No. 3 <ref>[https://en.wikipedia.org/wiki/Dual_code Dual code from Wikipedia]</ref> <ref>[https://en.wikipedia.org/wiki/Finite_field Finite field from Wikipedia]</ref>
* [[John H. Conway]], [[Mathematician#SPNorton|Simon P. Norton]] ('''1979'''). ''[https://en.wikipedia.org/wiki/Monstrous_moonshine Monstrous Moonshine]''. Bulletin of the London Mathematical Society, Vol. 11, 308–339
==1980 ...==
* [[John H. Conway]] ('''1980'''). ''On the Enumeration of Self-Dual Codes''. [http://www.informatik.uni-trier.de/~ley/db/journals/jct/jcta28.html#Conway80 Journal of Combinatorial Theory, Series A, Vol. 28]
* [[Elwyn Berlekamp]], [[John H. Conway]], [[Richard K. Guy]] ('''1982'''). ''[https://en.wikipedia.org/wiki/Winning_Ways_for_your_Mathematical_Plays Winning Ways for your Mathematical Plays]''. Vol. 1, 1st edition, [https://en.wikipedia.org/wiki/Academic_Press Academic Press]
* [[Elwyn Berlekamp]], [[John H. Conway]], [[Richard K. Guy]] ('''1982'''). ''[https://en.wikipedia.org/wiki/Winning_Ways_for_your_Mathematical_Plays Winning Ways for your Mathematical Plays]''. Vol. 2, 1st edition, [https://en.wikipedia.org/wiki/Academic_Press Academic Press]
* [[John H. Conway]], [[Mathematician#NSloane|Neil Sloane]] ('''1988'''). ''[http://neilsloane.com/doc/splag.html Sphere Packing, Lattices and Groups]''. Springer
==1990 ...==
* [[Richard K. Guy]], [[John H. Conway]], [[Elwyn Berlekamp]], [[Mathematician#VPless|Vera Pless]], [[Aviezri Fraenkel]], [[Richard J. Nowakowski]] ('''1991'''). ''[https://www.goodreads.com/book/show/5136619-combinatorial-games Combinatorial Games]''. Proceedings of Symposia in Applied Mathematics, No. 43
* [[John H. Conway]] ('''1996'''). ''The Angel Problem''. in [[Richard J. Nowakowski]] (ed) ('''1996'''). ''[http://library.msri.org/books/Book29/index.html Games of No Chance]'', [http://www.msri.org/publications/books/Book29/index.html MSRI Publications Volume 29], [https://en.wikipedia.org/wiki/Cambridge_University_Press Cambridge University Press], Papers from the Combinatorial Games Workshop held in Berkeley, CA, July 11–21, 1994 <ref>[https://en.wikipedia.org/wiki/Angel_problem Angel problem from Wikipedia]</ref>
* [[John H. Conway]], [[Mathematician#NSloane|Neil Sloane]] ('''1998'''). ''[http://neilsloane.com/doc/splag.html Sphere Packing, Lattices and Groups]''. 3rd edition, Springer
==2000 ...==
* [[John H. Conway]] ('''2001'''). ''[https://en.wikipedia.org/wiki/On_Numbers_and_Games On Numbers and Games]''. 2nd edition, [https://en.wikipedia.org/wiki/A_K_Peters,_Ltd. A K Peters Ltd.]
* [[Elwyn Berlekamp]], [[John H. Conway]], [[Richard K. Guy]] ('''2001'''). ''[https://en.wikipedia.org/wiki/Winning_Ways_for_your_Mathematical_Plays Winning Ways for your Mathematical Plays]''. Vol. 1, 2nd edition, [https://en.wikipedia.org/wiki/A_K_Peters,_Ltd. A K Peters Ltd.]
* [[Elwyn Berlekamp]], [[John H. Conway]], [[Richard K. Guy]] ('''2003'''). ''[https://en.wikipedia.org/wiki/Winning_Ways_for_your_Mathematical_Plays Winning Ways for your Mathematical Plays]''. Vol. 2, 2nd edition, [https://en.wikipedia.org/wiki/A_K_Peters,_Ltd. A K Peters Ltd.]
* [[Elwyn Berlekamp]], [[John H. Conway]], [[Richard K. Guy]] ('''2003'''). ''[https://en.wikipedia.org/wiki/Winning_Ways_for_your_Mathematical_Plays Winning Ways for your Mathematical Plays]''. Vol. 3, [https://en.wikipedia.org/wiki/A_K_Peters,_Ltd. A K Peters Ltd.]
* [[Elwyn Berlekamp]], [[John H. Conway]], [[Richard K. Guy]] ('''2004'''). ''[https://en.wikipedia.org/wiki/Winning_Ways_for_your_Mathematical_Plays Winning Ways for your Mathematical Plays]''. Vol. 4, [https://en.wikipedia.org/wiki/A_K_Peters,_Ltd. A K Peters Ltd.]
* [[John H. Conway]], [[Noam Elkies|Noam D. Elkies]], [http://www.math.ku.edu/~jmartin/ Jeremy L. Martin] ('''2006'''). ''The Mathieu Group M 12 and Its Pseudogroup Extension M 13''. [https://en.wikipedia.org/wiki/Experimental_Mathematics_%28journal%29 Experimental Mathematics], Vol. 15, No. 2 <ref>[https://en.wikipedia.org/wiki/Mathieu_group_M12 Mathieu group M12 from Wikipedia]</ref> <ref>[https://en.wikipedia.org/wiki/Mathieu_groupoid Mathieu groupoid from Wikipedia]</ref>
* [[John H. Conway]], [[Mathematician#SBKochen|Simon B. Kochen]] ('''2006'''). ''The Free Will Theorem''. [http://arxiv.org/abs/quant-ph/0604079 arXiv:quant-ph/0604079]
* [[John H. Conway]], [[Mathematician#SBKochen|Simon B. Kochen]] ('''2007'''). ''Thou Shalt Not Clone One Bit!''. [http://arxiv.org/abs/0711.2310 arXiv:0711.2310]
* [[John H. Conway]], [[Mathematician#SBKochen|Simon B. Kochen]] ('''2008'''). ''The Strong Free Will Theorem''. [http://arxiv.org/abs/0807.3286 arXiv:0807.3286]
==2010 ...==
* [https://web.math.princeton.edu/~wcavendi/ William Cavendish], [[John H. Conway]] ('''2010'''). ''Symmetrically Bordered Surfaces''. [https://en.wikipedia.org/wiki/American_Mathematical_Monthly The American Mathematical Monthly] 117, [https://web.math.princeton.edu/~wcavendi/symmetricallybordered.pdf pdf]
* [[John H. Conway]] ('''2013'''). ''On Unsettleable Arithmetical Problems''. [https://en.wikipedia.org/wiki/American_Mathematical_Monthly The American Mathematical Monthly] 120
* [http://www.siobhanroberts.com/ Siobhan Roberts] ('''2015'''). ''[https://www.brainpickings.org/2015/12/22/genius-at-play-siobhan-roberts/ Genius at Play - The Curious Mind of John Horton Conway]''. [https://en.wikipedia.org/wiki/Bloomsbury_Publishing Bloomsbury Publishing], [https://youtu.be/aKLYyTykmM8 YouTube Video]

=External Links=
==John H. Conway==
* [http://www.math.princeton.edu/directory/john-conway John Conway | Department of Mathematics]
* [https://en.wikipedia.org/wiki/John_Horton_Conway John Horton Conway from Wikipedia]
* [http://genealogy.math.ndsu.nodak.edu/id.php?id=18849 The Mathematics Genealogy Project - John Conway]
* [http://www-history.mcs.st-and.ac.uk/Biographies/Conway.html Conway biography - MacTutor]
* [http://www.adeptis.ru/vinci/m_part3_3.html John Conway - АдептИС: Под знаком Leonardo da Vinci] (Russian)
==Topics==
* [https://en.wikipedia.org/wiki/Angel_problem Angel problem from Wikipedia]
* [https://en.wikipedia.org/wiki/Conway%27s_Game_of_Life Conway's Game of Life from Wikipedia]
* [https://en.wikipedia.org/wiki/Conway_group Conway group from Wikipedia]
* [https://en.wikipedia.org/wiki/Conway_notation_%28knot_theory%29 Conway notation (knot theory) from Wikipedia]
* [https://en.wikipedia.org/wiki/Conway_polyhedron_notation Conway polyhedron notation from Wikipedia]
* [https://en.wikipedia.org/wiki/Doomsday_rule Doomsday rule from Wikipedia]
* [https://en.wikipedia.org/wiki/Free_will_theorem Free will theorem from Wikipedia]
* [https://en.wikipedia.org/wiki/Hackenbush Hackenbush from Wikipedia]
* [https://en.wikipedia.org/wiki/Monstrous_moonshine Monstrous moonshine from Wikipedia]
==Videos==
* Inventing Game of Life - [http://www.numberphile.com/ Numberphile], [https://en.wikipedia.org/wiki/YouTube YouTube] Video
: {{#evu:https://www.youtube.com/watch?v=R9Plq-D1gEk|alignment=left|valignment=top}}
* Stanley Clarke Band - [https://en.wikipedia.org/wiki/School_Days_%28album%29 Life Is Just a Game], [https://en.wikipedia.org/wiki/North_Sea_Jazz_Festival North Sea Jazz Festival] 1981, [https://en.wikipedia.org/wiki/YouTube YouTube] Video
: [[Videos#StanleyClarke|Stanley Clarke]], [[Videos#SimonPhillips|Simon Phillips]], [http://www.allmusic.com/artist/steve-bach-mn0000751571/biography Steve Bach], [[Videos#CharlesJohnson|Charles “Icarus” Johnson]]
: {{#evu:https://www.youtube.com/watch?v=Hr6MtIZP0Ak|alignment=left|valignment=top}}

=References=
<references />

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