“Topics in Algebra” by I. N. Herstein is a renowned mathematical textbook that delves into various algebraic concepts. Let’s explore some details about this influential book:
Book Overview:
Title: Topics in Algebra
Author: I. N. Herstein
Edition: 2nd Edition
Publication Date: January 16, 1991
Language: English
Pages: 388
Publisher: John Wiley & Sons
ISBN-10: 0536010900
ISBN-13: 978-0471010906
Content Highlights:
Group Theory: Definitions, examples, subgroups, automorphisms, Sylow’s theorem, and more.
Ring Theory: Definitions, special classes of rings, ideals, quotient rings, polynomial rings, and more.
Vector Spaces and Modules: Linear independence, bases, dual spaces, and modules.
Fields: Extension fields, Galois theory, solvability by radicals, and more.
Linear Transformations: Matrices, characteristic roots, canonical forms, determinants, and more.
Selected Topics: Finite fields, integral quaternions, and more.
Significance:
I. N. Herstein was a prolific mathematician known for his contributions to algebra and ring theory.
The book underwent extensive revisions in this 2nd edition, particularly in the sections on finite groups and Galois theory.
It covers fundamental algebraic concepts and provides a solid foundation for further study.
Availability:
You can find the book on platforms like Amazon1.
It’s widely used in mathematics courses and self-study.
Whether you’re a student, educator, or math enthusiast, “Topics in Algebra” remains a valuable resource for exploring algebraic structures and their applications. 📚🔢
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