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Games of No Chance (Mathematical Sciences Research Institute Publications, Band 29) [Englisch] [Gebundene Ausgabe]

Richard J. Nowakowski

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1996 Mathematical Sciences Research Institute Publications (Buch 29)
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.

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'No one interested in two-person combinatorial games should hesitate before acquiring this splendid book. Leading experts report on the latest research involving such classic board games as checkers, chess, and go. Other familiar games are analyzed in depth, and many exciting new games are introduced. Did you know that go moku, nine-men morris, and Sol Golomb's pentomino game are now solved? Did you know that computers are getting close to solving checkers? Fifty-two tantalizing unsolved problems are posed by Richard Guy, and Aviezri Fraenkel's bibliography lists 666 references! Games of No Chance is a great collection of elegant, entertaining papers - a book to put on the shelf alongside the classic two-volume Winning Ways by Elwyn Berlekamp, John Conway, and Richard Guy.' Martin Gardner

'A thoroughly edited volume, Combinatorial Game Theory at its best.' European Mathematical Society

Über das Produkt

This book deals with combinatorial games, that is, games not involving chance or hidden information. The first part of the book will be accessible to anyone, regardless of background. For those who want to delve more deeply, the book also contains combinatorial studies of chess and Go, plus reports on computer advances and theoretical approaches.

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The Angel and the Devil play their game on an infinite chessboard, with one square for each ordered pair of integers (x, y). Lesen Sie die erste Seite
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Amazon.com: 4.8 von 5 Sternen  4 Rezensionen
8 von 8 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen great book 31. März 2000
Von skeezer - Veröffentlicht auf Amazon.com
This book is full of beatiful work. Every section is an investigation into some combinatorial game, or some idea in combinatorial game theory. Most of the material is clearly presented and all should be accessible to undergrads, but be warned: this is not simple stuff. But, as we all know, beautiful mathematics isn't always simple. The book also includes a section with 52 unsolved problems, which should be of considerable interest to the curious.
1 von 1 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen If You Like Chess or GO, you'll LOVE this! 29. Juni 2013
Von Let's Compare Options Preptorial - Veröffentlicht auf Amazon.com
Format:Taschenbuch|Verifizierter Kauf
Combinatorial math is now part of discrete math, as well as graph theory and/or stats in some math departments, but is universally winked at as the "fun" part of "recreational" math. As I'm sure you know that does NOT mean it is simple! Applications of chess combinatorials include asteroid defense, and applications of go math include the immune system, so even fun can have practical value.

Example for GO players: "When neither black or white can make eyes, there are no kos, and all liberties are simple dame, with two competing groups where shared liberties are less than two, the black or white group MUST die." (p. 249). I've reviewed and read dozens of go books, and very few give this level of detail and subtlety, let alone the combinatorial details!

Will help gamers understand math better, and mathematicians understand gaming better. The "bible" of game theory today, Maschler's (Game Theory), though wonderful, doesn't even mention combinatorial games except briefly in the zero sum chapter, and doesn't cover GO at all! So, if you're into combinatorial math and gaming (non chance, two person, zero sum, full information to be exact), this book rocks!

You might already know this, but this is the first in a series of three volumes containing scholarly articles on the topics. Just in case you missed them, the other two are: More Games of No Chance (Mathematical Sciences Research Institute Publications) and Games of No Chance 3 (Mathematical Sciences Research Institute Publications).

Highly recommended, requires undergrad level math or self study. A little linear algebra and group theory will help, but analysis and calculus are optional. Boolean logic and computer science are plusses.

Speaking of, a GREAT audience for this book would be big O, complexity, computer science, programmers and other IT folks. Some of the fun anecdotes would be great for job interviews in these fields, and not seen very often by the interviewer-- distinguish yourself!

Library Picks reviews only for the benefit of Amazon shoppers and has nothing to do with Amazon, the authors, manufacturers or publishers of the items we review. We always buy the items we review for the sake of objectivity, and although we search for gems, are not shy about trashing an item if it's a waste of time or money for Amazon shoppers. If the reviewer identifies herself, her job or her field, it is only as a point of reference to help you gauge the background and any biases.
3 von 4 Kunden fanden die folgende Rezension hilfreich
4.0 von 5 Sternen Fascinating 22. Juli 2002
Von Maurizio De Leo - Veröffentlicht auf Amazon.com
I don't have read all the book, but I read most of the scientific papers it is composed by. I think they are very interesting and puzzling, on the border line between serious mathematics (game theory and all this stuff) and "recreational math" (like the angel problem). It would be a good read also for people interested in computer games.
4 von 8 Kunden fanden die folgende Rezension hilfreich
5.0 von 5 Sternen MAA Online review 12. September 1997
Von Ein Kunde - Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe
See Ed Sandifer's MAA Online review at: [...]
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