464 Pages
by
Chapman & Hall
464 Pages
by
Chapman & Hall
472 Pages
by
Chapman & Hall
Also available as eBook on:
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 narrative approach than the stiff formalism of many... Read more
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.
Biography
Garrett, Paul B.
