Abstract Algebra

A Comprehensive Treatment

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Abstract Algebra by Claudia Menini, Freddy Van Oystaeyen, CRC Press
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Author: Claudia Menini, Freddy Van Oystaeyen ISBN: 9781351991469
Publisher: CRC Press Publication: November 22, 2017
Imprint: CRC Press Language: English
Author: Claudia Menini, Freddy Van Oystaeyen
ISBN: 9781351991469
Publisher: CRC Press
Publication: November 22, 2017
Imprint: CRC Press
Language: English

In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.

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In one exceptional volume, Abstract Algebra covers subject matter typically taught over the course of two or three years and offers a self-contained presentation, detailed definitions, and excellent chapter-matched exercises to smooth the trajectory of learning algebra from zero to one. Field-tested through advance use in the ERASMUS educational project in Europe, this ambitious, comprehensive book includes an original treatment of representation of finite groups that avoids the use of semisimple ring theory and explains sets, maps, posets, lattices, and other essentials of the algebraic language; Peano's axioms and cardinality; groupoids, semigroups, monoids, groups; and normal subgroups.

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