Abstract algebra: an integrated approach
This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced intr…
Read More ↓Title Statements
- Full title :Abstract algebra : an integrated approach / Joseph H. Silverman.
Summary
This abstract algebra textbook takes an integrated approach that highlights the similarities of fundamental algebraic structures among a number of topics. The book begins by introducing groups, rings, vector spaces, and fields, emphasizing examples, definitions, homomorphisms, and proofs. The goal is to explain how all of the constructions fit into an axiomatic framework and to emphasize the importance of studying those maps that preserve the underlying algebraic structure. This fast-paced introduction is followed by chapters in which each of the four main topics is revisited and deeper result.
Read More ↓Edition Statements
- Publication Date:©2022
Publication Statements
- Publisher(s):American mathematical Society
- Place of Publication:Providence, Rhode Island
- Language:eng
- Publication Date:©2022
The Physical Object
- Description:1 online resource (xvii, 567 pages) : : illustrations
Edition Identifiers
- ISBN:9781470469023, 1470469022
- oclc:on1293260344
- LC Classification:QA162
- Dewey Decimal:512/.02
Table of Contents
A potpourri of preliminary topics -- Groups: part 1 -- Rings: part 1 -- Vector spaces: part 1 -- Fields: part 1 -- Groups: part 2 -- Rings: part 2 -- Fields: part 2 -- Galois theory: fields+groups -- Vector spaces: part 2 -- Modules: part 1: rings+vector-like spaces -- Groups: part 3 -- Modules: part 2: multilinear algebra -- Additional topics in brief
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