Galvin's ``Racing Pawns'' Game and a Well-Ordering of Trees PDF Download
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Author: Stephen B. Grantham
Publisher: American Mathematical Soc.
ISBN: 0821823175
Category : Mathematics
Languages : en
Pages : 73
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Book Description
Galvin showed that white always wins [T:T] and gave an explicit strategy for the case where T is finite. We present his proofs here and then show how to give an explicit strategy in the general case.
Author: Stephen B. Grantham
Publisher: American Mathematical Soc.
ISBN: 0821823175
Category : Mathematics
Languages : en
Pages : 73
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Book Description
Galvin showed that white always wins [T:T] and gave an explicit strategy for the case where T is finite. We present his proofs here and then show how to give an explicit strategy in the general case.
Author: Elwyn R. Berlekamp
Publisher: CRC Press
ISBN: 0429945590
Category : Mathematics
Languages : en
Pages : 324
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Book Description
This classic on games and how to play them intelligently is being re-issued in a new, four volume edition. This book has laid the foundation to a mathematical approach to playing games. The wise authors wield witty words, which wangle wonderfully winning ways. In Volume 1, the authors do the Spade Work, presenting theories and techniques to "dissect" games of varied structures and formats in order to develop winning strategies.
Author: Michael H. Albert
Publisher: Cambridge University Press
ISBN: 0521861349
Category : Mathematics
Languages : en
Pages : 577
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Book Description
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.
Author: Richard J. Nowakowski
Publisher: Cambridge University Press
ISBN: 9780521646529
Category : Mathematics
Languages : en
Pages : 556
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Book Description
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.
Author: Richard K. Guy
Publisher: American Mathematical Soc.
ISBN: 9780821867488
Category : Mathematics
Languages : en
Pages : 250
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Book Description
Based on lectures presented at the AMS Short Course on Combinatorial Games, held at the Joint Mathematics Meetings in Columbus in August 1990, the ten papers in this volume will provide readers with insight into this exciting field. Because the book requires very little background, it will likely find a wide audience that includes the amateur interested in playing games, the undergraduate looking for a new area of study, instructors seeking a refreshing area in which to give new courses at both the undergraduate and graduate levels, and graduate students looking for a variety of research topics.
Author:
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ISBN:
Category : Mathematics
Languages : en
Pages : 732
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Category : Computer software
Languages : en
Pages :
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Author: American Mathematical Society
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 142
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ISBN:
Category : Graph theory
Languages : en
Pages : 414
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Author:
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ISBN:
Category : Mathematics
Languages : en
Pages : 864
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