Articoli correlati a LMS: 110 Introduction Theory of Surreal Numb

LMS: 110 Introduction Theory of Surreal Numb - Brossura

Libro 93 di 387: London Mathematical Society Lecture Notes

Gonshor, Harry

 
9780521312059: LMS: 110 Introduction Theory of Surreal Numb

Sinossi

These notes provide a formal introduction to the theory of surreal numbers in a clear and lucid style.

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

Descrizione del libro

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.

Contenuti

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.

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.