Basic Abstract Algebra: For Graduate Students and Advanced Undergraduates

📘 Book Details

• Publisher: Dover

• Author: Robert B. Ash

• Language: English

• Edition: Not specified

• ISBN: 9780486453569

• Pages: 407

• Cover: Paperback

• Dimensions: 9.1 x 6.2 x 0.9 inches

📝 About The Book

Abstract Algebra: The Basic Structures by Robert B. Ash is a classic, highly respected textbook tailored for upper-level undergraduates and graduate students seeking a comprehensive and intuitive understanding of modern algebraic concepts. Written by a renowned professor of mathematics at the University of Illinois, the book masterfully combines clarity, brevity, and depth to make complex structures accessible.

The text offers a thorough exploration of fundamental algebraic structures such as groups, rings, fields, and modules, while also delving into their interrelations and applications in areas like physics, engineering, and computer science. Ash emphasizes conceptual intuition and elegance, helping students appreciate the intrinsic beauty of abstract algebra.

Later chapters guide readers through advanced topics including Galois theory, algebraic number theory, algebraic geometry, and homological algebra. A notable feature of this book is its comprehensive supplement on homological algebra, which ventures beyond standard introductory texts by including results with real-world relevance.

With complete solutions to all problems included in the text, Abstract Algebra: The Basic Structures stands out as both a learning guide and a reliable reference for self-study, classroom instruction, and research preparation.