A Course in Algebraic Number Theory by Robert B. Ash
A Course in Algebraic Number Theory - Table of Contents
- 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
- A. Quadratic Reciprocity via Gauss Sums
- B. Extension of Absolute Values
- C. The Different
What You Will Learn in A Course in Algebraic Number Theory
A Course in Algebraic Number Theory by Robert Ash offers an accessible yet mathematically rigorous foundation for graduate students studying arithmetic geometry and advanced algebra. Accessing this robert ash algebraic number theory pdf gives learners step-by-step proofs and detailed structural analysis.
The textbook covers integral closure, Dedekind domains, prime factorization of ideals, Dirichlet's unit theorem, Minkowski's bound, and cyclotomic fields. Studying this complete a course in algebraic number theory robert ash book bridges classical arithmetic with abstract algebraic structures.
Published as an open a course in algebraic number theory pdf reference, this text features clear expository notes, historical context, and comprehensive end-of-chapter problems.
Book Details & Specifications
Title:
A Course in Algebraic Number Theory by Robert B. Ash
Publisher:
Dover
Year:
2010
Pages:
108
Type:
PDF
Language:
English
ISBN-10 #:
0486477541
ISBN-13 #:
978-0486477541
License:
External Educational Resource
Amazon:
Amazon
About the Author: Robert B. Ash
The author Robert B. Ash
(1935–2015) was Professor Emeritus of Mathematics at the University of Illinois Urbana-Champaign, widely celebrated for his expository texts in abstract algebra, probability, and analysis.
As the author of A Course in Algebraic Number Theory by Robert Ash, he dedicated decades to producing freely available, high-quality mathematics textbooks for students worldwide.
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