An Introduction to Surreal Numbers

Erscheinungsjahr 2008
ISBN: 978-0-521-31205-9
Verlag: Cambridge University Press

Buch, Englisch, Band 110, 204 Seiten, Format (B × H): 152 mm x 229 mm, Gewicht: 339 g

Reihe: London Mathematical Society Lecture Note Series

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.

Autoren/Hrsg.

Gonshor, H.

Gonshor, Harry

Hitchin, N. J.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Grundlagen der Mathematik

Inhaltsverzeichnis

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.