Description

Book Synopsis
Explores fundamental concepts in arithmetic. This book begins with the definitions and properties of algebraic fields. It then discusses the theory of divisibility from an axiomatic viewpoint, rather than by the use of ideals. It also gives an introduction to p-adic numbers and their uses, which are important in modern number theory.

Table of Contents
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

Algebraic Theory of Numbers

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A Paperback / softback by Hermann Weyl

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    View other formats and editions of Algebraic Theory of Numbers by Hermann Weyl

    Publisher: Princeton University Press
    Publication Date: 10/05/1998
    ISBN13: 9780691059174, 978-0691059174
    ISBN10: 0691059179
    Also in:
    Mathematics Algebra Mathematical foundations Number theory

    Description

    Book Synopsis
    Explores fundamental concepts in arithmetic. This book begins with the definitions and properties of algebraic fields. It then discusses the theory of divisibility from an axiomatic viewpoint, rather than by the use of ideals. It also gives an introduction to p-adic numbers and their uses, which are important in modern number theory.

    Table of Contents
    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

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