Algebraic Theory Of Numbers Am 1 Volume 1
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A Brief Guide to Algebraic Number Theory
Author: H. P. F. Swinnerton-Dyer
language: en
Publisher: Cambridge University Press
Release Date: 2001-02-22
Broad graduate-level account of Algebraic Number Theory, first published in 2001, including exercises, by a world-renowned author.
Algebraic Theory of Numbers. (AM-1), Volume 1
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.
Problems in Algebraic Number Theory
Author: M. Ram Murty
language: en
Publisher: Springer Science & Business Media
Release Date: 2005
The problems are systematically arranged to reveal the evolution of concepts and ideas of the subject Includes various levels of problems - some are easy and straightforward, while others are more challenging All problems are elegantly solved