An introduction to the theory of surreal numbers /
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 theor...
| Автор: | |
|---|---|
| Формат: | Licensed eBooks |
| Мова: | Англійська |
| Опубліковано: |
Cambridge ; New York :
Cambridge University Press,
1986.
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| Серія: | London Mathematical Society lecture note series ;
110. |
| Онлайн доступ: | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=552372 |
Зміст:
- Chapter 7 Sums as Subshuffles, Unsolved ProblemsChapter 8 Number Theory; A. Basic Results; B. Partial Results and Unsolved Problems; Chapter 9 Generalized Epsilon Numbers; A. Epsilon Numbers with Arbitrary Index; B. Higher Order Fixed Points; C. Sign Sequences for Fixed Points; D. Quasi e type Numbers; E. Sign Sequences in Quasi Case; Chapter 10 Exponentiation; A. General Theory; B. Specialization to Purely Infinite Numbers; C. Reduction to the Function g; D. Properties of g and Explicit Results; References; Index