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Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory by Anthony M. Gaglione, Benjamin Fine, Gerhard Rosenberger (Hardcover, 2014)

About this product

About this product

Product Information

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 Identifiers

Publisher
Johns Hopkins University Press
ISBN-13
9781421411767
eBay Product ID (ePID)
176693368

Product Key Features

Author
Anthony M. Gaglione, Benjamin Fine, Gerhard Rosenberger
Publication Name
Introduction to Abstract Algebra: From Rings, Numbers, Groups, and Fields to Polynomials and Galois Theory
Format
Hardcover
Language
English
Subject
Mathematics
Publication Year
2014
Type
Textbook
Number of Pages
584 Pages

Dimensions

Item Height
254mm
Item Width
178mm
Item Weight
1361g

Additional Product Features

Title_Author
Gerhard Rosenberger, Benjamin Fine, Anthony M. Gaglione
Country/Region of Manufacture
United States

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