Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates (Dover Books on Mathematics)

Robert B. Ash

ISBN 10: 0486453561 / ISBN 13: 9780486453569

Published by Dover Publications (edition ), 2006

About this Item

It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting.

Seller Inventory # 0486453561-11-1

Bibliographic Details

• Title: Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates (Dover Books on Mathematics)
• Publisher: Dover Publications (edition )
• Publication Date: 2006
• Language: English
• ISBN 10: 0486453561
• ISBN 13: 9780486453569
• Binding: Paperback
• Condition: Very Good

About this title

Synopsis

Geared toward upper-level undergraduates and graduate students, this text surveys fundamental algebraic structures and maps between these structures. Its techniques are used in many areas of mathematics, with applications to physics, engineering, and computer science as well. Author Robert B. Ash, a Professor of Mathematics at the University of Illinois, focuses on intuitive thinking. He also conveys the intrinsic beauty of abstract algebra while keeping the proofs as brief and clear as possible.
The early chapters provide students with background by investigating the basic properties of groups, rings, fields, and modules. Later chapters examine the relations between groups and sets, the fundamental theorem of Galois theory, and the results and methods of abstract algebra in terms of algebraic number theory, algebraic geometry, noncommutative algebra, and homological algebra, including categories and functors. An extensive supplement to the text delves much further into homological algebra than most introductory texts, offering applications-oriented results. Solutions to all problems appear in the text.