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Abstract algebra

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Course Features

Print Flyer Recommend to Librarian. Book Book Series. Overview Covering topics not found in competing works: Free groups, module theory, extensions of rings New chapter about Groups, Algebras and Representations New section about the hot topic Combinatorial and geometric group theory. A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras, that is essential to various scientific disciplines such as particle physics and cryptology.

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Ash includes the following areas in his definition of abstract algebra: logic and foundations, counting, elementary number theory , informal set theory , linear algebra , and the theory of linear operators. Portions of this entry contributed by John Renze.

abstract algebra

Ash, R. A Primer of Abstract Mathematics. Washington, DC: Math. Dummit, D. Abstract Algebra, 2nd ed.

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Review of some of the preliminary material. Basic set, logic, and proof terminology.