Abstract Algebra: 1st Edition (e-Book) book cover

Abstract Algebra

1st Edition

By Paul B. Garrett

Chapman and Hall/CRC

472 pages

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Designed for an advanced undergraduate- or graduate-level course, Abstract Algebra provides an example-oriented, less heavily symbolic approach to abstract algebra. The text emphasizes specifics such as basic number theory, polynomials, finite fields, as well as linear and multilinear algebra. This classroom-tested, how-to manual takes a more narra

Table of Contents

Preface. Introduction. The Integers. Groups I. The Players: Rings, Fields. Commutative Rings I. Linear Algebra I: Dimension. Fields I. Some Irreducible Polynomials. Cyclotomic Polynomials. Finite Fields. Modules over PIDs. Finitely Generated Modules. Polynomials over UFDs. Symmetric Groups. Naive Set Theory. Symmetric Polynomials. Eisenstein's Criterion. Vandermonde Determinants. Cyclotomic Polynomials II. Roots of Unity. Cyclotomic III. Primes in Arithmetic Progressions. Galois Theory. Solving Equations by Radicals. Eigenvectors, Spectral Theorems. Duals, Naturality, Bilinear Forms. Determinants I. Tensor Products. Exterior Powers. Index.

Subject Categories

BISAC Subject Codes/Headings:
MATHEMATICS / Algebra / General