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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Hermann Weyl held the chair of mathematics at Zyrich Technische Hochschule from 1913 to 1930; from 1930 to 1933 he held the chair of mathematics at the University of Göttingen; and from 1933 until he retired in 1952 he was a Permanent Member of the Institute for Advanced Study in Princeton.
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Zustand: Bueno. : Este libro, uno de los primeros en aparecer en inglés sobre la teoría de números, explora los conceptos fundamentales de la aritmética. Comienza con las definiciones y propiedades de los campos algebraicos, sobre los cuales se basa a lo largo del texto. Luego, se discute la teoría de la divisibilidad desde un punto de vista axiomático, en lugar de utilizar ideales. Además, se introduce a los números p-ádicos y sus usos, que son importantes en la teoría de números moderna, culminando con un examen exhaustivo de los campos de números algebraicos. EAN: 9780691059174 Tipo: Libros Categoría: Ciencias|Educación Título: Algebraic Theory of Numbers Autor: Hermann Weyl Editorial: Princeton University Press Idioma: en Páginas: 240 Formato: tapa blanda. Artikel-Nr. Happ-2025-08-08-67d4d16a
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Zustand: New. 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. Series: Annals of Mathematics Studies. Num Pages: 240 pages, 30 halftones. BIC Classification: PBH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 231 x 154 x 16. Weight in Grams: 346. . 1998. Revised ed. Paperback. . . . . Books ship from the US and Ireland. Artikel-Nr. V9780691059174
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