Undergraduate Algebra, 3rd Edition, anonym.to

Undergraduate Algebra, 3rd Edition

Date: 02 Feb 2007, 09:40

0387220259, Pages: 385

Undergraduate Algebra is a text for the standard undergraduate algebra course. It concentrates on the

basic structures and results of algebra, discussing groups, rings, modules, fields, polynomials, finite

fields, Galois Theory, and other topics. The author has also included a chapter on groups of matrices

which is unique in a book at this level. Throughout the book, the author strikes a balance between

abstraction and concrete results, which enhance each other. Illustrative examples accompany the general

theory. Numerous exercises range from the computational to the theoretical, complementing results from

the main text.

For the third edition, the author has included new material on product structure for matrices (e.g. the

Iwasawa and polar decompositions), as well as a description of the conjugation representation of the

diagonal group. He has also added material on polynomials, culminating in Noah Snyder’s proof of the

Mason-Stothers polynomial abc theorem.

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