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On Numbers and Games

Front Cover
6 Reviews
A K PETERS Limited (MA), 2001 - Mathematics - 242 pages
ONAG, as the book is commonly known, is one of those rare publications that sprang to life in a moment of creative energy and has remained influential for over a quarter of a century. Originally written to define the relation between the theories of transfinite numbers and mathematical games, the resulting work is a mathematically sophisticated but eminently enjoyable guide to game theory. By defining numbers as the strengths of positions in certain games, the author arrives at a new class, the surreal numbers, that includes both real numbers and ordinal numbers. These surreal numbers are applied in the author's mathematical analysis of game strategies. The additions to the Second Edition present recent developments in the area of mathematical game theory, with a concentration on surreal numbers and the additive theory of partizan games.

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Review: On Numbers and Games

User Review  - Eel IzCool - Goodreads

I was initially interested in this book for surreal numbers, but I ended up reading a lot about games too. It's a very exciting book, full of new ideas. The tone is a pretty informal, and I think it could do with more rigor and exercises, but as a light introduction, it does a great job. Read full review

Review: On Numbers and Games

User Review  - Miktro - Goodreads

Absolutely brilliant. And it has a chapter zero! Breathtaking volumes of ideas packed into such short paragraphs that deciphering one of them can take you a week. Read full review

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References from web pages

JSTOR: On Numbers and Games
On numbers and games, by jh Conway. Pp ix, 238. ?6-50. 1976. SBN 0 12 186350 6 (Academic Press) This is a non-standard book on arithmetic, which is by no ...
links.jstor.org/ sici?sici=0025-5572(197706)2%3A61%3A416%3C144%3AONAG%3E2.0.CO%3B2-N

On Numbers and Games - Wikipedia, the free encyclopedia
On Numbers and Games is a mathematics book by John Horton Conway. The book is a serious mathematics book, written by a preeminent mathematician, ...
en.wikipedia.org/ wiki/ On_Numbers_and_Games

citeulike: On Numbers and Games
On Numbers and Games. by: John H Conway. (01 December 2000) ... TY - BOOK ID - citeulike:1223195 TI - On Numbers and Games PB - {AK Peters, ...
www.citeulike.org/ user/ Fin/ article/ 1223195

cialized colleagues in a handy outline the undergraduate curric ...
He is presently an assistant. Professor of Computer Science at the University of Waterloo,. ON, Canada. On Numbers and Games-J. H. Conway (London Math. SOC. ...
ieeexplore.ieee.org/ iel5/ 18/ 22700/ 01055826.pdf?arnumber=1055826

from Interactive Mathematics Miscellany and Puzzles
On Numbers And Games John Conway. Prologue. Just over a quarter of a century ago, for seven consecutive days I sat down and typed from 8:30 am until ...
www.cut-the-knot.org/ books/ ONAG/ prologue.shtml

Science After Sunclipse » Blog Archive » No seminar today (Sorry!)
This topic is also discussed in chapter 2 of Conway’s On Numbers and Games. Theorem 13 proves that dyadic rationals are real numbers, and Conway then ...
www.sunclipse.org/ ?p=14

On Numbers and Games
On Numbers and Games. ... On Numbers and Games. Sporadically through the course of 2006 I have read John Horton Conway's elegant treatise on (the surreal) ...
www.chaos.org.uk/ ~eddy/ when/ 2006/ ONAG.html

On Numbers and Sets
I just bought a copy of Conway's book "On Numbers and Games" which I had read many years ago with great delight. It reminded me of a little construction I ...
www.physicsforums.com/ showthread.php?t=173962

Inverse Operations With Transfinite Numbers And The Kalam ...
In jh Conway's On Numbers And Games[8], a construction for numbers is given which includes all of Cantor's ordinals, and yet under which the numbers form a ...
www.infidels.org/ library/ modern/ graham_oppy/ t_finite.html

Feature Column from the AMS
In his important book, On Numbers and Games, John Conway developed an approach to combinatorial games which pointed out their connection to numbers. ...
www.ams.org/ featurecolumn/ archive/ partizan6.html

Bibliographic information

QR code for On Numbers and Games
TitleOn Numbers and Games
Ak Peters Series
AuthorJ. H AUTOR CONWAY
Edition2, illustrated
PublisherA K PETERS Limited (MA), 2001
ISBN1568811276, 9781568811277
Length242 pages
Subjects › 

Mathematics / Game Theory
  
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