Winning Ways: For Your Mathematical Plays. Volume 1: Games in General - ISBN:0120911019

Winning Ways: For Your Mathematical Plays. Volume 1: Games in General

Date: 11 April 2011, 22:09

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Preface
Does a book need a Preface? What more, after fifteen years of toil, do three talented authors have to add?
We can reassure the bookstore browser, "Yes, this is just the book you want!" We can direct you, if you want to know quickly what's in the book, to the last page of this preliminary material. This in turn directs you to pages 1, 255, 427 and 695.
We can supply the reviewer, faced with the task of ploughing through nearly a thousand information-packed pages, with some pithy criticisms by indicating the horns of the polylemma the book finds itself on. It is not an encyclopedia. It is encyclopedic, but there are still too many games missing for it to claim to be complete. It is not a book on recreational mathematics because there's too much serious mathematics in it. On the other hand, for us, as for our predecessors Rouse Ball, Dudeney, Martin Gardner, Kraitchik, Sam Loyd, Lucas, Tom O'Beirne and Fred. Schuh, mathematics itself is a recreation. It is not an undergraduate text, since the exercises are not set out in an orderly fashion, with the easy ones at the beginning. They are there though, and with the hundred and sixty-three mistakes we've left in, provide plenty of opportunity for reader participation. So don't just
stand back and admire it, work of art though it is. It is not a graduate text, since it's too expensive and contains far more than any graduate student can be expected to learn. But it does carry you to the frontiers of research in combinatorial game theory and the many unsolved problems will stimulate further discoveries...

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