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

Hermann Weyl
Princeton University Press
 Web PDF
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ISBN-13:
9781400882809
Veröffentl:
2016
Einband:
Web PDF
Seiten:
240
Autor:
Hermann Weyl
Serie:
1 23, Annals of Mathematics Studies Princeton Landmarks in Mathematics and Physics
eBook Typ:
PDF
eBook Format:
Reflowable Web PDF
Kopierschutz:
Adobe DRM [Hard-DRM]
Sprache:
Englisch
Systemvoraussetzungen
Beschreibung:

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 "e;will be of some use,"e; has more than been fulfilled, for the book's clarity, succinctness, and importance rank it as a masterpiece of mathematical exposition.

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.

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