Abstract algebra : an integrated approach / Joseph H. Silverman.
| Author/creator | Silverman, Joseph H., 1955- author. |
| Format | Electronic |
| Publication | Providence, Rhode Island : American Mathematical Society, [2022] |
| Copyright Date | ©2022 |
| Description | 1 online resource (xvii, 567 pages) : illustrations. |
| Supplemental Content | Ebook Central |
| Subjects |
| Series | Pure and Applied Undergraduate Texts ; 55 Pure and applied undergraduate texts ; 55. ^A1010876 |
| 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 |
| Abstract | 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. |
| Bibliography note | Includes bibliographical references and index |
| Source of description | Description based on online resource; title from digital title page (viewed on January 19, 2023). |
| Issued in other form | Print version: Silverman, Joseph H. Abstract Algebra Providence : American Mathematical Society,c2022 9781470468606 |
| ISBN | 9781470469023 (electronic book) |
| ISBN | 1470469022 (electronic book) |
| ISBN | (paperback) |
| ISBN | (paperback) |
Availability
| Library | Location | Call Number | Status | Item Actions |
|---|---|---|---|---|
| Electronic Resources | Access Content Online | ✔ Available |