An Introduction to Surreal Numbers

By: H. Gonshor, Harry Gonshor, N. J. Hitchin (Editor)

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Paperback | 17 November 1986

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204 Pages

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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 subject is still new and the author is able to lead the reader through to some of the outstanding problems in the field. The topics covered include exponentiation and generalised e-numbers.

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You Can Find This Book In

Non-Fiction Mathematics Number Theory Mathematical Foundation Mathematical Logic

Introduction
Definition and Fundamental Existence Theorem
The Basic Operations
Real Numbers and Ordinals
Normal Form
Lengths and Subsystems which are Sets
Sums as Subshuffles, Unsolved Problems
Number Theory
Generalized Epsilon Numbers
Exponentiation
Index
Table of Contents provided by Publisher. All Rights Reserved.

An Introduction to Surreal Numbers

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