Algebraic Theory of Numbers. (AM-1), Volume 1 / / Hermann Weyl.

• Superior document: Title is part of eBook package: De Gruyter Princeton Annals of Mathematics eBook-Package 1940-2020
• VerfasserIn: Weyl, Hermann,
• Place / Publishing House: Princeton, NJ : : Princeton University Press, , [2016]; ©1954
• Year of Publication: 2016
• Language: English
• Series: Princeton Landmarks in Mathematics and Physics ; 1
• Physical Description: 1 online resource (240 p.) :; 30 halftones
• Other title: Frontmatter --; CONTENTS --; PREFACE --; A SHORT BIBLIOGRAPHY (BOOKS ONLY) --; Chapter I. ALGEBRAIC FIELDS --; Chapter II. THEORY OF DIVISIBILITY (KRONECKER, DEDEKIND) --; Chapter III. LOCAL PRIMADIC ANALYSIS (KUMMER-HENSEL) --; Chapter IV. ALGEBRAIC NUMBER FIELDS --; ERRATA --; AMENDMENTS
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9781400882809; 9783110494914; 9783110501063; 9783110442496
• DOI: 10.1515/9781400882809
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Hermann Weyl.

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.