Algebraic theory of numbers / Hermann Weyl.

Format:

Book

Author/Creator:

Weyl, Hermann, author.

Series:

Princeton landmarks in mathematics and physics.

Annals of mathematics studies v. 1.

Princeton Landmarks in Mathematics and Physics ; 1

Language:

English

Subjects (All):

Algebraic number theory.

Physical Description:

1 online resource (234 p.)

Place of Publication:

Princeton, NJ : Princeton University Press, [2016]

Language Note:

In English.

Summary:

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.

Contents:

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

Notes:

Description based upon print version of record.

Includes bibliographical references.

Description based on online resource; title from PDF title page (publisher's Web site, viewed 08. Jul 2019)

ISBN:

9781400882809

140088280X

OCLC:

950904748