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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.

**All Famous Books of this Author :- **

Here is list all books, text books, editions, versions or solution manuals avaliable of this author, We recomended you to download all.

** • Download PDF Basic Abstract Algebra by Robert Ash **

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** • Download PDF Complex Variables by Robert B. Ash, W. Phil Novinger **

** • Download PDF Probability and Measure Theory by Robert Ash, Catherine Dole **

** • Download PDF Measure, Integration and Functional Analysis by Robert Ash **

** • Download PDF A Course in Algebraic Number Theory by Robert B. Ash **

** • Download PDF Basic Probability Theory by Robert B. Ash **

** • Download PDF Real Analysis and Probability by Robert Ash **

** • Download PDF Real Analysis and Probability Solutions to Problems by Robert Ash **

** • Download PDF Real Real Variables with Basic Metric space Topology by Robert Ash **

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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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**WORKSHEETS (Solved):- **

**SHORTCUT TRICKS (Division):- **

- Divisible by 2 Shortcut trick
- Divisible by 3 Shortcut trick
- Divisible by 4 Shortcut trick
- Divisible by 5 Shortcut trick
- Divisible by 6 Shortcut trick
- Divisible by 7 Shortcut trick
- Divisible by 8 Shortcut trick
- Divisible by 9 Shortcut trick
- Divisible by 10 Shortcut trick

**SHORTCUT TRICKS (Prime Number):- **

- Find the prime number from 1 to 100 just in 5 second (MATH PRIME NUMBER SHORTCUT TRICK from 1 to 100 number) ?
- Find a large number "A" is prime number or not (MATH PRIME NUMBER SHORTCUT TRICK By using Square Root method) ?
- Find the composite number from 1 to 100 just in 5 second (MATH COMPOSITE NUMBER SHORTCUT TRICK from 1 to 100 number) ?