ENGLISH

Algebraic theory of numbers

By Herman Weyl

Book information

Publisher
Princeton University Press
Year
1954
ISBN
9780691079080, 0691079080
Open Library ID
OL21623546M
Language
english
Format
DJVU
Filesize
8 MB (8573361 bytes)
Series
Annals of Mathematics Studies
Edition
Revised
Pages
231\231
Topic
Mathematics Algebra
Time added
2014-10-05 02:30:00

Description

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 ^Ip^N-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.

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