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9780521312059

An Introduction to the Theory of Surreal Numbers

by
  • ISBN13:

    9780521312059

  • ISBN10:

    0521312051

  • Format: Paperback
  • Copyright: 1986-09-26
  • Publisher: Cambridge University Press

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Summary

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.

Table of Contents

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.

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