Abstract Algebra

AvPaul B. Garrett

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PDF, Engelska, 2007

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Beskrivning

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

Produktinformation

Utgivningsdatum:2007-09-25
Språk:Engelska
Filformat:PDF
Kopieringsskydd:LCP
ISBN:9781584886907
Förlag:Taylor & Francis Ltd

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Innehållsförteckning

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.