A Concrete Approach to Abstract Algebra: From the Integers to the Insolvability of the Quintic

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Features

Author	Jeffrey Bergen
Brand	Unbranded
Format	Hardcover
ISBN	9780123749413
Publication Date	06/03/2010
Publisher	Academic Press

Description

A Concrete Approach to Abstract Algebrabegins with a concrete and thorough examination of familiar objects like integers, rational numbers, real numbers, complex numbers, complex conjugation and polynomials, in this unique approach, the author builds upon these familar objects and then uses them to introduce and motivate advanced concepts in algebra in a manner that is easier to understand for most students.The text will be of particular interest to teachers and future teachers as it links abstract algebra to many topics wich arise in courses in algebra, geometry, trigonometry, precalculus and calculus.

The final four chapters presentthe more theoretical material needed for graduate study.

Presents a more natural 'rings first' approachto effectively leading the student into the the abstract material of the course by the use of motivating concepts from previous math courses to guide the discussion of abstract algebra
Bridges the gap for students by showing how most of the concepts within an abstract algebra course are actually tools used to solve difficult, but well-known problems
Builds on relatively familiar material (Integers, polynomials) and moves onto more abstract topics, while providing a historical approach of introducing groups first as automorphisms
Exercises provide a balanced blend of difficulty levels, while the quantity allows the instructor a latitude of choices

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