On Numbers and Games - WikipediaHis research interests include the theory of finite groups , knot theory , number theory , coding theory  and quantum physics. He is best known for the invention of the Game of Life  , and for the co-development of combinatorial game theory  along with a remarkable new way to construct numbers as introduced in his book On Numbers and Games. His surreal numbers were subject of a mathematical novel by Donald Knuth . Conway , and Richard K. Guy is a compendium of information on mathematical games , first published in two volumes, second edition published in four volumes from until From Chessprogramming wiki.
John H. Conway
The Basic Library List Committee strongly recommends this book for acquisition by undergraduate mathematics libraries. In one of his "Mathematical Games" columns, Gardner explained Conway's method for "creating numbers out of nothing," obtaining, in the process, a bewildering zoo of infinite and infinitesimal numbers in addition to the usual real numbers. When, a short time later in , it was , I saw On Numbers and Games originally published in for sale at a local science bookstore, I couldn't resist buying a copy. What a marvelous book it turned out to be! First of all, it was fun to read. Just look at the names of things: "contorted fractions", "hackenbush unrestrained", "col" and "snort" Second, the theory it developed was fascinating.
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The material is, however, developed in a playful and unpretentious manner and many chapters are accessible to non-mathematicians. Martin Gardner discussed the book at length, particularly Conway's construction of surreal numbers , in his Mathematical Games column in Scientific American in September The book is roughly divided into two sections: the first half or Zeroth Part , on numbers , the second half or First Part , on games.
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Skip to search form Skip to main content. Some work has also been done to develop analysis on No. In this paper, we extend this work with a treatment of functions, limits, derivatives, power series and integrals. We propose surreal definitions of the arctangent and logarithm functions using truncations of Maclaurin series. Save to Library. Create Alert.