Our systems are now restored following recent technical disruption, and we’re working hard to catch up on publishing. We apologise for the inconvenience caused. Find out more

Recommended product

Popular links

Popular links


An Introduction to the Theory of Surreal Numbers

An Introduction to the Theory of Surreal Numbers

An Introduction to the Theory of Surreal Numbers

Harry Gonshor
November 1986
Paperback
9780521312059
AUD$112.95
inc GST
Paperback
USD
eBook

    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

    November 1986
    Paperback
    9780521312059
    204 pages
    228 × 152 × 12 mm
    0.3kg
    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