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Undergraduate Algebra, 2nd Edition

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Undergraduate Algebra, 2nd Edition Cover

 

Synopses & Reviews

Publisher Comments:

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 Snyders 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

Book News Annotation:

Splendid undergraduate text, intended to function as a companion to the distinguished author's Linear algebra and to provide young mathematicians with a secure command of the fundamentals of groups, rings, fields, and related structures. Ten chapters, many excellent problems, written with exemplary clarity and with exceptional sensitivity to what young readers might on first encounter consider to be "scary". Departs from the previous edition (1987) by the inclusion of some new material and exercises. The author has been very well served by the production people at Springer, who have produced a physically beautiful book at a reasonable price. (NW)
Annotation c. Book News, Inc., Portland, OR (booknews.com)

Product Details

ISBN:
9780387972794
Publisher:
Springer
Location:
New York
Author:
Lang, Serge
Subject:
Algebra
Subject:
Algebra - General
Subject:
Algebra - Elementary
Subject:
Mathematics-Algebra Other
Copyright:
Edition Number:
2
Edition Description:
1990. Corr. 4th
Series:
Undergraduate Texts in Mathematics
Series Volume:
122
Publication Date:
20010927
Binding:
HARDCOVER
Language:
English
Pages:
388
Dimensions:
9.21x6.14x.94 in. 1.58 lbs.

Related Subjects

Science and Mathematics » Mathematics » Algebra » Abstract Algebra
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Other

Undergraduate Algebra, 2nd Edition
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Product details 388 pages Springer Verlag - English 9780387972794 Reviews:
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