Fundamental Concepts of Abstract Algebra

Nonfiction, Science & Nature, Mathematics, Algebra
Cover of the book Fundamental Concepts of Abstract Algebra by Gertrude Ehrlich, Dover Publications
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Author: Gertrude Ehrlich ISBN: 9780486291864
Publisher: Dover Publications Publication: May 13, 2013
Imprint: Dover Publications Language: English
Author: Gertrude Ehrlich
ISBN: 9780486291864
Publisher: Dover Publications
Publication: May 13, 2013
Imprint: Dover Publications
Language: English

Designed to offer undergraduate mathematics majors insights into the main themes of abstract algebra, this text contains ample material for a two-semester course. Its extensive coverage includes set theory, groups, rings, modules, vector spaces, and fields. Loaded with examples, definitions, theorems, and proofs, it also features numerous practice exercises at the end of each section.
Beginning with sets, relations, and functions, the text proceeds to an examination of all types of groups, including cyclic groups, subgroups, permutation groups, normal subgroups, homomorphism, factor groups, and fundamental theorems. Additional topics include subfields, extensions, prime fields, separable extensions, fundamentals of Galois theory, and other subjects.

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Designed to offer undergraduate mathematics majors insights into the main themes of abstract algebra, this text contains ample material for a two-semester course. Its extensive coverage includes set theory, groups, rings, modules, vector spaces, and fields. Loaded with examples, definitions, theorems, and proofs, it also features numerous practice exercises at the end of each section.
Beginning with sets, relations, and functions, the text proceeds to an examination of all types of groups, including cyclic groups, subgroups, permutation groups, normal subgroups, homomorphism, factor groups, and fundamental theorems. Additional topics include subfields, extensions, prime fields, separable extensions, fundamentals of Galois theory, and other subjects.

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