Introduction to Abstract Algebra - pr_337183

Introduction to Abstract Algebra

From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory

By Benjamin Fine, Anthony M. Gaglione, Gerhard Rosenberger

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Introduction to Abstract Algebra presents a breakthrough approach to teaching one of math's most intimidating concepts. Avoiding the pitfalls common in the standard textbooks, Benjamin Fine, Anthony M. Gaglione, and Gerhard Rosenberger set a pace that allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts. Classroom tested and revised until students achieved consistent, positive results, this textbook is designed to keep students focused as they learn complex topics. Fine, Gaglione, and Rosenberger's clear explanations prevent students from getting lost as they move deeper and deeper into areas such as abelian groups, fields, and Galois theory. This textbook will help bring about the day when abstract algebra no longer creates intense anxiety but instead challenges students to fully grasp the meaning and power of the approach. Topics covered include: rings; integral domains; the fundamental theorem of arithmetic; fields; groups; Lagrange's theorem; isomorphism theorems for groups; fundamental theorem of finite abelian groups; the simplicity of A n for n=5; Sylow theorems; the Jordan-Holder theorem; Ring isomorphism theorems; Euclidean domains; principal ideal domains; the fundamental theorem of algebra; Vector spaces; Algebras; field extensions: algebraic and transcendental; the fundamental theorem of Galois theory; and the insolvability of the quintic.

Product code: 9781421411767

ISBN 9781421411767
Dimensions (HxWxD in mm) H254xW178xS39
No. Of Pages 584
Publisher Johns Hopkins University Press
Presents an approach to teach one of math's most intimidating concepts. This book allows beginner-level students to follow the progression from familiar topics such as rings, numbers, and groups to more difficult concepts.