games of no chance 3 mathematical sciences research institute publications

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Games Of No Chance

Author : Richard J. Nowakowski
ISBN : 0521646529
Genre : Mathematics
File Size : 66. 40 MB
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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

Author : Richard Nowakowski
ISBN : 0521808324
Genre : Mathematics
File Size : 90. 6 MB
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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.

Games Of No Chance 4

Author : Richard J. Nowakowski
ISBN : 9781107011038
Genre : Mathematics
File Size : 29. 26 MB
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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.

Combinatorial And Computational Geometry

Author : Jacob E. Goodman
ISBN : 0521848628
Genre : Computers
File Size : 22. 77 MB
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This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.

Games Of No Chance 3

Author : Michael H. Albert
ISBN : 9780521861342
Genre : Mathematics
File Size : 50. 29 MB
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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.

Contemporary Issues In Mathematics Education

Author : Estela A. Gavosto
ISBN : 0521654718
Genre : Education
File Size : 45. 22 MB
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This volume presents a serious discussion of educational issues, with representations of opposing ideas.

Flavors Of Geometry

Author : Silvio Levy
ISBN : 0521629624
Genre : Mathematics
File Size : 47. 97 MB
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Lectures on hyperbolic geometry, dynamics in several complex variables, convex geometry, and volume estimation.

Noncommutative Algebraic Geometry

Author : Gwyn Bellamy
ISBN : 9781107129542
Genre : Mathematics
File Size : 27. 12 MB
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This book provides a comprehensive introduction to the interactions between noncommutative algebra and classical algebraic geometry.

Comparison Geometry

Author : Karsten Grove
ISBN : 0521592224
Genre : Mathematics
File Size : 42. 2 MB
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This is an up to date work on a branch of Riemannian geometry called Comparison Geometry.

Lessons In Play

Author : Michael Albert
ISBN : 9781439864371
Genre : Mathematics
File Size : 55. 93 MB
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Combinatorial games are games of pure strategy involving two players, with perfect information and no element of chance. Starting from the very basics of gameplay and strategy, the authors cover a wide range of topics, from game algebra to special classes of games. Classic techniques are introduced and applied in novel ways to analyze both old and new games, several appearing for the first time in this book.

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