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.

「Nielsen BookData」より

[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.

「Nielsen BookData」より

この本の情報

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
※クリックでCiNii Booksを表示
言語 英語
出版国 イギリス
この本を: 
このエントリーをはてなブックマークに追加

このページを印刷

外部サイトで検索

この本と繋がる本を検索

ウィキペディアから連想