An Introduction to the Theory of Surreal Numbers / Edition 19

by Harry Gonshor

Overview

The surreal numbers form a system which includes both the ordinary real numbers and the ordinals. Since their introduction by J. H. Conway, the theory of surreal numbers has seen a rapid development revealing many natural and exciting properties. These notes provide a formal introduction to the theory in a clear and lucid style. The the author is able to lead the reader through to some of the problems in the field. The topics covered include exponentiation and generalized e-numbers.

Product Details

ISBN-13:	9780521312059
Publisher:	Cambridge University Press
Publication date:	09/18/1986
Series:	London Mathematical Society Lecture Note Series , #110
Pages:	204
Product dimensions:	5.98(w) x 8.98(h) x 0.47(d)

Table of Contents

1. Introduction; 2. Definition and Fundamental Existence Theorem; 3. The Basic Operations; 4. Real Numbers and Ordinals; 5. Normal Form; 6. Lengths and Subsystems which are Sets; 7. Sums as Subshuffles, Unsolved Problems; 8. Number Theory; 9. Generalized Epsilon Numbers; 10. Exponentiation; Index.