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Science/Engineering Serge Lang - Undergraduate Algebra (Repost)

Posted on 2010-03-16




Name:Science/Engineering Serge Lang - Undergraduate Algebra (Repost)
ASIN/ISBN:0387220259
Language:English
File size:11.68 Mb
Publish Date: 2005
ISBN: 0387220259
Pages: 385
File Type: PDF
File Size: 11.68 MB
Other Info: Springer
   Science/Engineering Serge Lang - Undergraduate Algebra (Repost)

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Serge Lang - Undergraduate Algebra

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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