An Introduction to the Theory of Surreal Numbers
Seiten
1986
Cambridge University Press (Verlag)
978-0-521-31205-9 (ISBN)
Cambridge University Press (Verlag)
978-0-521-31205-9 (ISBN)
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.
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.
| Erscheint lt. Verlag | 18.9.1986 |
|---|---|
| Reihe/Serie | London Mathematical Society Lecture Note Series |
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 152 x 228 mm |
| Gewicht | 300 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Allgemeines / Lexika |
| ISBN-10 | 0-521-31205-1 / 0521312051 |
| ISBN-13 | 978-0-521-31205-9 / 9780521312059 |
| Zustand | Neuware |
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