Games of No Chance 3

Games of No Chance 3 PDF

Author: Michael H. Albert

Publisher: Cambridge University Press

Published: 2009-05-29

Total Pages: 577

ISBN-13: 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 PDF

Author: Richard J. Nowakowski

Publisher: Cambridge University Press

Published: 2015-04-16

Total Pages: 351

ISBN-13: 1107011035

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A mathematical explanation of misere games, in which losing is the goal.

Games of No Chance 5

Games of No Chance 5 PDF

Author: Urban Larsson

Publisher: Cambridge University Press

Published: 2019-05-09

Total Pages: 499

ISBN-13: 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 PDF

Author: Richard J. Nowakowski

Publisher: Cambridge University Press

Published: 1998-11-13

Total Pages: 556

ISBN-13: 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.

More Games of No Chance

More Games of No Chance PDF

Author: Richard Nowakowski

Publisher: Cambridge University Press

Published: 2002-11-25

Total Pages: 552

ISBN-13: 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 PDF

Author: Bruce Landman

Publisher: Walter de Gruyter

Published: 2013-08-29

Total Pages: 168

ISBN-13: 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 PDF

Author: Gwyn Bellamy

Publisher: Cambridge University Press

Published: 2016-06-20

Total Pages: 367

ISBN-13: 1107129540

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

Games, Puzzles, and Computation

Games, Puzzles, and Computation PDF

Author: Robert A. Hearn

Publisher: CRC Press

Published: 2009-06-30

Total Pages: 250

ISBN-13: 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

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