Abstract Algebra and Solution by Radicals (Dover Books on Mathematics)

Book Details

• Publisher: Dover

• Author: John E. Maxfield

• Language: English

• Edition: Illustrated

• ISBN: 9780486477237

• Number of Pages: 209

• Cover: Paperback

• Release Date: 24-03-2010

• Package Dimensions: 9.2 x 6.1 x 0.6 inches

About The Book

Groups and Galois Theory by John E. Maxfield is an advanced undergraduate text that introduces readers to the fundamental concepts of group theory and Galois theory, offering a clear path from algebraic equations to the study of their solvability. This well-regarded book, praised by The American Mathematical Monthly as "most readable," is an excellent resource for students looking to gain a deeper understanding of abstract algebraic structures.

Beginning with groups, rings, fields, and polynomials, the author systematically progresses to more complex topics like Galois theory, radicals, and the roots of unity. Emphasizing abstraction, this book helps students appreciate the broader world of algebraic systems, which are pivotal in fields like automation and computer science. Packed with examples, illustrations, and exercises, this work is an accessible and well-written resource for students who have completed introductory courses in algebra or calculus. It is an invaluable tool for anyone looking to explore the elegance and depth of algebraic structures.