"A Concrete Approach to Abstract Algebra"begins 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.
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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 algebraBridges 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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