Algebraic Theory of Numbers. (AM-1), Volume 1 - Brossura

Weyl, Hermann

Brossura

ISBN 10: 0691079080 ISBN 13: 9780691079080

Casa editrice: Princeton University Press, 1954

Riassunto

In this, one of the first books to appear in English on the theory of numbers, the eminent mathematician Hermann Weyl explores fundamental concepts in arithmetic. The book begins with the definitions and properties of algebraic fields, which are relied upon throughout. The theory of divisibility is then discussed, from an axiomatic viewpoint, rather than by the use of ideals. There follows an introduction to p-adic numbers and their uses, which are so important in modern number theory, and the book culminates with an extensive examination of algebraic number fields.

Weyl's own modest hope, that the work "will be of some use," has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition.

Su questo libro

Contenuti:

Ch. I	Algebraic Fields	1
Ch. II	Theory of Divisibility (Kronecker, Dedekind)	33
Ch. III	Local Primadic Analysis (Kummer, Hensel)	71
Ch. IV	Algebraic Number Fields	141
	Amendments	223

Product Description:

Book by Weyl Hermann

Su questa edizione

• Editore: Princeton University Press
• Data di pubblicazione: 1954
• ISBN 10: 0691079080
• ISBN 13: 9780691079080
• Rilegatura: Copertina flessibile
• Numero di pagine: 232