Algebra (Dover Books on Mathematics)

Book Details

• Publisher: Harper Collins India

• Author: Larry C. Grove

• Language: English

• Edition: New

• ISBN: 9780486439471

• Pages: 320

• Cover: Paperback

• Format: Illustrated

• Dimensions: 8.5 x 5.5 x 0.8 inches

About The Book

Introduction to Algebra by Larry C. Grove, published by Harper Collins India on May 20, 2010, is a 320-page illustrated paperback that serves as a graduate-level text for algebra courses. Designed for courses that begin with the first principles but move at a faster pace than typical undergraduate courses, this book provides a comprehensive introduction to the subject of algebra.

Grove’s text is particularly valuable for its accessibility, offering clear presentations and proofs that are digestible for students new to abstract concepts. The book is rich with concrete examples and exercises throughout, designed to clarify complex ideas as they arise. In addition, the chapters include further exercises of varying difficulty, reinforcing learning and providing ample opportunities for practice.

The book covers a wide range of topics, including groups, rings, fields, Galois theory, modules, and the structure of rings and algebras. It also touches on advanced subjects such as infinite Abelian groups, transcendental field extensions, and the representations and characters of finite groups, offering an in-depth study of algebraic structures. Based on Grove’s extensive classroom experience, this self-contained treatment breathes new life into abstract algebra, making it an essential resource for students and instructors alike.