A01=John H. Conway
advanced undergraduate mathematics
Algebraically Closed
Author_John H. Conway
Category=PBUD
Col
combinatorial game analysis methods
combinatorial game theory
Continued Fraction
Dedekind Sections
dyadic
Dyadic Rational
Elwyn Berlekamp
Eo Rem
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Finite Integer
good
Impartial Games
left
Left Option
Legal Moves
mathematical logic games
MISERE PLAY
move!
Normal Play
Numbers Bom
Odd
option
ordinal
Ordinal Number
Ordinal Sum
partizan strategy analysis
player
Player Win
Positive Game
rational
real
Real Number
Richard Guy
Small Games
sum
surreal number theory
Tame Games
transfinite mathematics
Vice Versa
Zeroth Part
Product details
- ISBN 9781568811277
- Weight: 630g
- Dimensions: 152 x 229mm
- Publication Date: 11 Dec 2000
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
Secure
checkout
Fast Shipping
Easy returns
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.
John H. Conway- John von Neumann Professor of Mathematics, Princeton University
