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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 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: Urban Larsson
Publisher: Cambridge University Press
ISBN: 1108485804
Category : Computers
Languages : en
Pages : 499
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Book Description
Surveys the state-of-the-art in combinatorial game theory, that is games not involving chance or hidden information.
Author: Richard Nowakowski
Publisher: Cambridge University Press
ISBN: 9780521808323
Category : Mathematics
Languages : en
Pages : 552
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Book Description
This 2003 book documents mathematical and computational advances in Amazons, Chomp, Dot-and-Boxes, Go, Chess, Hex, and more.
Author: Gerolamo Cardano
Publisher: Courier Dover Publications
ISBN: 048680898X
Category : Games & Activities
Languages : en
Pages : 64
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Book Description
Mathematics was only one area of interest for Gerolamo Cardano ― the sixteenth-century astrologer, philosopher, and physician was also a prolific author and inveterate gambler. Gambling led Cardano to the study of probability, and he was the first writer to recognize that random events are governed by mathematical laws. Published posthumously in 1663, Cardano's Liber de ludo aleae (Book on Games of Chance) is often considered the major starting point of the study of mathematical probability. The Italian scholar formulated some of the field's basic ideas more than a century before the better-known correspondence of Pascal and Fermat. Although his book had no direct influence on other early thinkers about probability, it remains an important antecedent to later expressions of the science's tenets.
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: Horace C. Levinson
Publisher: Courier Corporation
ISBN: 9780486419978
Category : Mathematics
Languages : en
Pages : 388
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Book Description
In simple, non-technical language, this volume explores the fundamentals governing chance and applies them to sports, government, and business. Topics includenbsp;the theory of probability in relation to superstitions, betting odds, warfare,nbsp;social problems, stocks, and other areas. "Clear and lively ...nbsp;remarkably accurate." —Scientific Monthly.
Author: Richard J. Nowakowski
Publisher: Cambridge University Press
ISBN: 1107011035
Category : Mathematics
Languages : en
Pages : 351
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Book Description
A mathematical explanation of misere games, in which losing is the goal.
Author:
Publisher:
ISBN: 9781108713658
Category : Combinatorial group theory
Languages : en
Pages : 490
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Book Description
Author: Manfred Eigen
Publisher: Princeton University Press
ISBN: 9780691025667
Category : Law
Languages : en
Pages : 372
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Book Description
Using game theory and examples of actual games people play, Nobel laureate Manfred Eigen and Ruthild Winkler show how the elements of chance and rules underlie all that happens in the universe, from genetic behavior through economic growth to the composition of music. To illustrate their argument, the authors turn to classic games--backgammon, bridge, and chess--and relate them to physical, biological, and social applications of probability theory and number theory. Further, they have invented, and present here, more than a dozen playable games derived from scientific models for equilibrium, selection, growth, and even the composition of RNA.
Author: Kenneth Dickkerson
Publisher: Ballantine Books
ISBN: 9780345363176
Category : Astrology
Languages : en
Pages : 0
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Book Description
Harness the power of your own personal winning cycle. Using easy-to-master techniques based on the prinicples of astrology, numerology, and biorhythms, discover when the odds are in your favor and when they're not. Kenneth Dickkerson, columnist for The Lottery News, has developed a remarkable, easy-to-master system that can work on casino gambling, bingo, sweepstakes, slots, racing, the game of the week, and daily numbers. With his help, you can discover your lucky numbers, lucky day, and seize that all-important edge that will make you a big winner at games of chance.
