ENGLISH

Undergraduate Algebra

By Serge Lang

Book information

Publisher
Springer
Year
2005
ISBN
0387220259, 9780387220253
LCC
QA152.3 .L36 2005
Open Library ID
OL3305581M
Language
english
Format
DJVU
Filesize
2 MB (2225366 bytes)
Series
Undergraduate texts in mathematics
Edition
3rd ed
Pages
398\398
Topic
Mathematics Algebra
Library
Kolxo3
DPI
300
Time added
2009-07-20 03:45:11

Description

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 SnyderÆs proof of the Mason-Stothers polynomial abc theorem.   About the First Edition: The exposition is down-to-earth and at the same time very smooth. The book can be covered easily in a one-year course and can be also used in a one-term course...the flavor of modern mathematics is sprinkled here and there. - Hideyuki Matsumura, Zentralblatt

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