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a course in algebraic number theory robert ash [pdf]

A Course in Algebraic Number Theory by Robert B. Ash

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About this book :-
A Course in Algebraic Number Theory written by Robert Ash
This text cover the basic course in algebraic number theory. It covers the general theory of factorization of ideals in Dedekind domain, detailed calculations illustrating the use of Kummer's theorem, the factorization of prime ideals in Galois extensions, intricate proofs of the Dirichlet unit theorem and the Minkowski bounds on element and ideal norms, including the Artin-Whaples approximation theorem and Hensel's lemma, etc.

Book Detail :-
Title: A Course in Algebraic Number Theory
Edition:
Author(s): Robert B. Ash
Publisher: Dover Publications
Series: Dover Books on Mathematics
Year: 2010
Pages: 95
Type: PDF
Language: English
ISBN: 0486477541,9780486477541
Country: US
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About Author :-
Author Robert B. Ash (1935-2015) is Professor Emeritus of Mathematics in the Department of Mathematics at the University of Illinois. He start his career as an Assistant Professor in Electrical Engineering at Columbia University and then a Visiting Assistant Professor at the University of California, Berkeley, before coming to the University of Illinois Department of Mathematics in 1963. He retired in 1990. Bob was author of thirteen textbooks.

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Book Contents :-
A Course in Algebraic Number Theory written by Robert Ash cover the following topics.
1 Introduction
2 Norms, Traces and Discriminants
3 Dedekind Domains
4 Factorization of Prime Ideals in Extensions
5 The Ideal Class Group
6 The Dirichlet Unit Theorem
7 Cyclotomic Extensions
8 Factorization of Prime Ideals in Galois Extensions
9 Local Fields


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