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From the rear cover
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.
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
Details
- Title Undergraduate Algebra
- Author Serge Lang
- Binding Hardback
- Edition INTERNATIONAL ED
- Pages 389
- Volumes 1
- Language ENG
- Publisher Springer, USA
- Publication date 2005-03-21
- Illustrated Yes
- Features Bibliography, Illustrated, Index, Maps
- ISBN 9780387220253 / 0387220259
- Weight 1.65 lbs (0.75 kg)
- Dimensions 9.4 x 6.5 x 1.1 in (23.88 x 16.51 x 2.79 cm)
- Category Mathematics
- Library of Congress subjects Algebra
- Library of Congress Catalogue Number 2004049194
- Dewey Decimal Code 512
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Undergraduate Algebra: Springer Undergraduate Texts in Mathematics, Third Edition
by Serge Lang
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Undergraduate Algebra (Undergraduate Texts in Mathematics)
by Lang, Serge
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by Serge Lang
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