_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 present the more theoretical
material needed for graduate study.
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* Presents a more natural 'rings first' approach to 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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Produktdetaljer
ISBN
9780123749413
Publisert
2010
Utgiver
Elsevier S & T
Språk
Product language
Engelsk
Format
Product format
Digital bok
Antall sider
720
Forfatter