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978-0-387-27475-1
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20180115171353.0
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9780387274751
978-0-387-27475-1
10.1007/0-387-27475-8
doi
QA150-272
PBF
bicssc
MAT002000
bisacsh
512
23
Lang, Serge.
author.
Undergraduate Algebra
[electronic resource] /
by Serge Lang.
Third Edition.
New York, NY :
Springer New York,
2005.
XII, 389 p.
online resource.
text
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Undergraduate Texts in Mathematics,
0172-6056
The Integers -- Groups -- Rings -- Polynomials -- Vector Spaces and Modules -- Some Linear Groups -- Field Theory -- Finite Fields -- The Real and Complex Numbers -- Sets.
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.
Mathematics.
Algebra.
Field theory (Physics).
Mathematics.
Algebra.
Field Theory and Polynomials.
SpringerLink (Online service)
Springer eBooks
Printed edition:
9780387220253
Undergraduate Texts in Mathematics,
0172-6056
http://dx.doi.org/10.1007/0-387-27475-8
ZDB-2-SMA
369324
369324
0
0
0
0
EBook
elib
elib
2018-01-15
2018-01-15
2018-01-15
EBOOK