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An Introduction to the Theory of Surreal Numbers

Part of London Mathematical Society Lecture Note Series

  • Date Published: September 1986
  • availability: Available
  • format: Paperback
  • isbn: 9780521312059

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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 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.

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    Product details

    • Date Published: September 1986
    • format: Paperback
    • isbn: 9780521312059
    • length: 204 pages
    • dimensions: 228 x 152 x 12 mm
    • weight: 0.3kg
    • availability: Available
  • 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.

  • Author

    Harry Gonshor

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