An introduction to the theory of surreal numbers
著者
書誌事項
An introduction to the theory of surreal numbers
（London Mathematical Society lecture note series, 110）
Cambridge University Press, c1986
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注記
Bibliography: p. 191
Includes index
内容説明・目次
内容説明
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.
目次
- 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.
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