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Winning Ways for Your Mathematical Plays, Vol. 1
 
 
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Winning Ways for Your Mathematical Plays, Vol. 1 (Paperback)
by Elwyn R. Berlekamp (Author), John Horton Conway (Author), Richard K. Guy (Author) "Who's game for an easy pencil-and-paper (or chalk-and blackboard) game?..." (more)
Key Phrases: octal games, tinted nodes, arithmetic periodicity, Blue-Red Hackenbush, Hackenbush Hotchpotch, Games of No Chance (more...)
  4.5 out of 5 stars 4 customer reviews (4 customer reviews)  

List Price: $49.95
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Better Together

Buy this book with Winning Ways for Your Mathematical Plays Volume 2 by John H. Conway today!

Winning Ways for Your Mathematical Plays, Vol. 1 Winning Ways for Your Mathematical Plays Volume 2
Buy Together Today: $92.95

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Book Description
...presents theories and techniques to "dissect" games of varied structures and formats

Product Details
  • Paperback: 296 pages
  • Publisher: AK Peters, Ltd.; 2 edition (January 1, 2001)
  • Language: English
  • ISBN-10: 1568811306
  • ISBN-13: 978-1568811307
  • Product Dimensions: 9.2 x 7.3 x 0.4 inches
  • Shipping Weight: 1.1 pounds (View shipping rates and policies)
  • Average Customer Review: 4.5 out of 5 stars 4 customer reviews (4 customer reviews)
  • Amazon.com Sales Rank: #139,729 in Books (See Bestsellers in Books)

    Popular in this category: (What's this?)

    #28 in  Books > Entertainment > Puzzles & Games > Math Games

    (Publishers and authors: Improve Your Sales)
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Inside This Book (learn more)
First Sentence:
Who's game for an easy pencil-and-paper (or chalk-and blackboard) game? Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
octal games, tinted nodes, arithmetic periodicity, parted jungle, confusion interval, partizan games, impartial games, fuzzy game, subtraction games, redwood furniture, combinatorial games, sparse space, subtraction set, zero game, hottest game, worthwhile move, winning move, stopping positions, infinitesimal values, hot games, play convention, remote star, maximal flow, blue petals, green edges
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Blue-Red Hackenbush, Hackenbush Hotchpotch, Games of No Chance, Cambridge University Press, Dawson's Chess, Richard Nowakowski, Childish Hackenbush, Dawson's Kayles, Colon Principle, Maundy Cake, Simplicity Rule, Elwyn Berlekamp, Fusion Principle, Grundy's Game, Wyt Queens, Cashing Cheques, David Wolfe, Death Leap Principle, Seating Couples, Atomic Weight Calculus, Seating Families of Five, Don't-Break-It-Up Theorem, Fibonacci Quart, Richard Austin, Gallimaufry of Games
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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover | Surprise Me!
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4 Reviews
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28 of 28 people found the following review helpful:
5.0 out of 5 stars Games come in many forms!, February 24, 2001
By Charles Ashbacher "(cashbacher@yahoo.com)" (Marion, Iowa United States(cashbacher@yahoo.com)) - See all my reviews
(TOP 50 REVIEWER)    (REAL NAME)      
This is the most difficult collection of puns that I have ever read. Of course, that has something to do with the fact that they are surrounded by some of the most complex mathematical analyses of games that you will find. The types of games that are examined are processes that have the following general structure:

1) There are two players.
2) There are many different positions, with one singled out as the starting position.
3) Players move according to very specific rules.
4) The players move alternately.
5) Both players have complete information.
6) There is no chance element to the play. For example, dice are not involved.
7) The first player unable to move loses the game.
8) The game will always move to a state where a player cannot move, which is an ending condition.

The hardest part of the material is the notation, it is unusual and absolutely necessary to understand the treatment of nearly all the games. However, once you get over that, something that took me a couple of passes, the games become interesting. Some of them turn out to be trivial, although at first reading, that would not be your conclusion.
I also would caution you that this is not recreational mathematics in its base form. These games and problems are nontrivial and most require some serious thought, even when the result is simple. As I read through these games and the mathematical examination of the consequences of playing them, I was struck by two semi-profound thoughts.

1) The human mind can create a game out of just about anything. Some of these games are nothing more than colored marks on paper.
2) Even simple rules can generate complex results. However, mathematical analysis gives us powerful tools that inform us how to win, or as the case may be, how not to lose, or to lose as slowly as possible.

Berklekamp and company have created a classic work that is a must read if you want to understand game-like behavior. While not easy, it is some of the most worthwhile material that you will ever read. I read the first edition several years ago and found the going just as interesting the second time.

Published in Journal of Recreational Mathematics, reprinted with permission.


 
26 of 29 people found the following review helpful:
3.0 out of 5 stars Note - the volumes have been renumbered, March 1, 2001
By A Customer
This is a classic set of books, and greatly improved from the original version. But if you're looking for the old Volume 1, this book will disappoint. The second edition of Winning Ways is split into 4 separately published books. So THIS Volume 1 is just half of the old Volume 1. Be prepared.


 
4 of 5 people found the following review helpful:
5.0 out of 5 stars Geniuses and Games, October 18, 2001
By Mark R. Roop-Kharasch (Newton Center, MA USA) - See all my reviews
This book is dazzling. It can be pretty tough going but it is
well worth the effort. You can always tell the work of a genius because it illuminates the landscape and shows us things we have never seen before. I design games for a living and this book rocks! Hackenbush, Nimbers, games with 1/2 move advantage. Well illustrated. ONLY PROBLEM: Where are volumes 2-4?

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5.0 out of 5 stars Improvement!
These new editions have many new and interesting stuff that is not included in the original outdated series. Read more
Published on October 20, 2004

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