Basic Abstract Algebra

For Graduate Students and Advanced Undergraduates

Robert B ASH

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English

Dover
01 December 2006

Mathematics & Sciences; Algebra

Series: Dover Books on Mathema 1.4tics

Summary
Details

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.

By: Robert B ASH
Imprint: Dover
Country of Publication: United States
Dimensions: Height: 234mm, Width: 163mm, Spine: 19mm
Weight: 592g
ISBN: 9780486453569
ISBN 10: 0486453561
Series: Dover Books on Mathema 1.4tics
Pages: 407
Publication Date: 01 December 2006
Audience: General/trade , ELT Advanced
Format: Paperback
Publisher's Status: Unspecified