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Fundamental Concepts of Abstract Algebra (Dover Books on Mathematics), by Gertrude Ehrlich
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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.
- Sales Rank: #1462543 in Books
- Brand: Brand: Dover Publications
- Published on: 2011-12-14
- Released on: 2011-11-16
- Original language: English
- Number of items: 1
- Dimensions: 9.02" h x .74" w x 5.98" l, 1.00 pounds
- Binding: Paperback
- 352 pages
- Used Book in Good Condition
Most helpful customer reviews
9 of 9 people found the following review helpful.
A classic
By Carlos Signoret
This is an excellent book for every course of abstract algebra. I have been using it for several years and it is the most comprehensive text I know for groups, rings and fields. The exposition of the topics flows very easily and the students find it easy to follow; in addition, the problems sections are very useful. I recomend it for every mathematician as well as for every teacher of algebra. I think this text will eventually become a classic.
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