An introduction to the theory of surreal numbers

Harry Gonshor

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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  • 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.

「Nielsen BookData」より


書名 An introduction to the theory of surreal numbers
著作者等 Gonshor, Harry
シリーズ名 London Mathematical Society lecture note series
出版元 Cambridge University Press
刊行年月 c1986
ページ数 192 p.
大きさ 23 cm
ISBN 0521312051
NCID BA00636687
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言語 英語
出版国 イギリス