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Games of No Chance 3

Games of No Chance 3
Author: Michael H. Albert
Publisher: Cambridge University Press
Total Pages: 577
Release: 2009-05-29
Genre: Mathematics
ISBN: 0521861349

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This fascinating look at combinatorial games, that is, games not involving chance or hidden information, offers updates on standard games such as Go and Hex, on impartial games such as Chomp and Wythoff's Nim, and on aspects of games with infinitesimal values, plus analyses of the complexity of some games and puzzles and surveys on algorithmic game theory, on playing to lose, and on coping with cycles. The volume is rounded out with an up-to-date bibliography by Fraenkel and, for readers eager to get their hands dirty, a list of unsolved problems by Guy and Nowakowski. Highlights include some of Siegel's groundbreaking work on loopy games, the unveiling by Friedman and Landsberg of the use of renormalization to give very intriguing results about Chomp, and Nakamura's "Counting Liberties in Capturing Races of Go." Like its predecessors, this book should be on the shelf of all serious games enthusiasts.


Games of No Chance 4

Games of No Chance 4
Author: Richard J. Nowakowski
Publisher: Cambridge University Press
Total Pages: 351
Release: 2015-04-16
Genre: Mathematics
ISBN: 1107011035

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Combinatorial games are the strategy games that people like to play, for example chess, Hex, and Go. They differ from economic games in that there are two players who play alternately with no hidden cards and no dice. These games have a mathematical structure that allows players to analyse them in the abstract. Games of No Chance 4 contains the first comprehensive explorations of misère (last player to move loses) games, extends the theory for some classes of normal-play (last player to move wins) games and extends the analysis for some specific games. It includes a tutorial for the very successful approach to analysing misère impartial games and the first attempt at using it for misère partisan games. Hex and Go are featured, as well as new games: Toppling Dominoes and Maze. Updated versions of Unsolved Problems in Combinatorial Game Theory and the Combinatorial Games Bibliography complete the volume.


Games of No Chance 5

Games of No Chance 5
Author: Urban Larsson
Publisher: Cambridge University Press
Total Pages: 499
Release: 2019-05-09
Genre: Computers
ISBN: 1108485804

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Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.


Games of No Chance

Games of No Chance
Author: Richard J. Nowakowski
Publisher: Cambridge University Press
Total Pages: 556
Release: 1998-11-13
Genre: Mathematics
ISBN: 9780521646529

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Is Nine-Men Morris, in the hands of perfect players, a win for white or for black - or a draw? Can king, rook, and knight always defeat king and two knights in chess? What can Go players learn from economists? What are nimbers, tinies, switches and minies? This book deals with combinatorial games, that is, games not involving chance or hidden information. Their study is at once old and young: though some games, such as chess, have been analyzed for centuries, the first full analysis of a nontrivial combinatorial game (Nim) only appeared in 1902. The first part of this book will be accessible to anyone, regardless of background: it contains introductory expositions, reports of unusual tournaments, and a fascinating article by John H. Conway on the possibly everlasting contest between an angel and a devil. For those who want to delve more deeply, the book also contains combinatorial studies of chess and Go; reports on computer advances such as the solution of Nine-Men Morris and Pentominoes; and theoretical approaches to such problems as games with many players. If you have read and enjoyed Martin Gardner, or if you like to learn and analyze new games, this book is for you.


Games of No Chance

Games of No Chance
Author: Richard J. Nowakowski
Publisher:
Total Pages:
Release: 1996
Genre:
ISBN:

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More Games of No Chance

More Games of No Chance
Author: Richard Nowakowski
Publisher: Cambridge University Press
Total Pages: 552
Release: 2002-11-25
Genre: Mathematics
ISBN: 9780521808323

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This 2003 book provides an analysis of combinatorial games - games not involving chance or hidden information. It contains a fascinating collection of articles by some well-known names in the field, such as Elwyn Berlekamp and John Conway, plus other researchers in mathematics and computer science, together with some top game players. The articles run the gamut from theoretical approaches (infinite games, generalizations of game values, 2-player cellular automata, Alpha-Beta pruning under partial orders) to other games (Amazons, Chomp, Dot-and-Boxes, Go, Chess, Hex). Many of these advances reflect the interplay of the computer science and the mathematics. The book ends with a bibliography by A. Fraenkel and a list of combinatorial game theory problems by R. K. Guy. Like its predecessor, Games of No Chance, this should be on the shelf of all serious combinatorial games enthusiasts.


Combinatorial Number Theory

Combinatorial Number Theory
Author: Bruce Landman
Publisher: Walter de Gruyter
Total Pages: 168
Release: 2013-08-29
Genre: Mathematics
ISBN: 3110280612

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This volume contains selected refereed papers based on lectures presented at the "Integers Conference 2011", an international conference in combinatorial number theory that was held in Carrollton, Georgia, United States in October 2011. This was the fifth Integers Conference, held bi-annually since 2003. It featured plenary lectures presented by Ken Ono, Carla Savage, Laszlo Szekely, Frank Thorne, and Julia Wolf, along with sixty other research talks. This volume consists of ten refereed articles, which are expanded and revised versions of talks presented at the conference. They represent a broad range of topics in the areas of number theory and combinatorics including multiplicative number theory, additive number theory, game theory, Ramsey theory, enumerative combinatorics, elementary number theory, the theory of partitions, and integer sequences.


Noncommutative Algebraic Geometry

Noncommutative Algebraic Geometry
Author: Gwyn Bellamy
Publisher: Cambridge University Press
Total Pages: 367
Release: 2016-06-20
Genre: Mathematics
ISBN: 1107129540

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This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.


Commutative Algebra and Noncommutative Algebraic Geometry

Commutative Algebra and Noncommutative Algebraic Geometry
Author: David Eisenbud
Publisher: Cambridge University Press
Total Pages: 303
Release: 2015-11-19
Genre: Mathematics
ISBN: 110714972X

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This book surveys fundamental current topics in these two areas of research, emphasising the lively interaction between them. Volume 2 focuses on the most recent research.


Games, Puzzles, and Computation

Games, Puzzles, and Computation
Author: Robert A. Hearn
Publisher: CRC Press
Total Pages: 250
Release: 2009-06-30
Genre: Mathematics
ISBN: 1439865051

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The authors show that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). They also show that games and puzzles can serve as powerful models of computation-quite different from the usual models of automata and circuits-offering a new way of thinking about computation. The appen