On Numbers and Games
E30395
On Numbers and Games is a mathematical book by John H. Conway that introduces surreal numbers and explores combinatorial game theory in a rigorous yet playful style.
Statements (49)
| Predicate | Object |
|---|---|
| instanceOf |
book
→
mathematics book → |
| author |
John H. Conway
→
John Horton Conway → |
| countryOfOrigin |
United Kingdom
→
|
| field |
combinatorial game theory
→
number theory → |
| firstPublicationYear |
1976
→
|
| genre |
mathematics
→
|
| hasConcept |
Conway numbers
→
canonical forms of games → equivalence of games → game values → long games → short games → surreal number construction by transfinite recursion → temperature of a game → |
| hasPart |
Part One
→
Part One: Numbers → Part Two → Part Two: Games → Part Zero → Part Zero: Preliminaries → |
| influenced |
The Book of Numbers
→
Winning Ways for your Mathematical Plays → later research in combinatorial game theory → |
| language |
English
→
|
| notableFor |
foundational work in combinatorial game theory
→
introducing surreal numbers in book form → |
| publisher |
A K Peters
→
Academic Press → |
| style |
informal exposition with formal proofs
→
playful → rigorous → |
| targetAudience |
advanced undergraduates in mathematics
→
graduate students in mathematics → mathematicians → |
| topic |
Go endgames
→
Hackenbush → cold games → combinatorial games → game theory → hot games → impartial games → nim → normal play convention → ordinal numbers → partizan games → surreal numbers → |
Referenced by (4)
| Subject (surface form when different) | Predicate |
|---|---|
|
Surreal numbers
→
|
introducedInPublication |
|
Look-and-say sequence
→
|
isDescribedIn |
|
John H. Conway
→
|
notableWork |
|
Winning Ways for your Mathematical Plays
→
|
relatedWork |