國立高雄大學圖資館 |

Language: English

Back

Algebra 2linear algebra, Galois theo...

Lal, Ramji.

Algebra 2linear algebra, Galois theory, representation theory, group extensions and Schur multiplier /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Algebra 2by Ramji Lal.
Reminder of title:	linear algebra, Galois theory, representation theory, group extensions and Schur multiplier /
Author:	Lal, Ramji.
Published:	Singapore :Springer Singapore :2017.
Description:	xviii, 432 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Algebra.
Online resource:	http://dx.doi.org/10.1007/978-981-10-4256-0
ISBN:	9789811042560$q(electronic bk.)

Algebra 2linear algebra, Galois theory, representation theory, group extensions and Schur multiplier /
Lal, Ramji.

Algebra 2linear algebra, Galois theory, representation theory, group extensions and Schur multiplier /[electronic resource] :by Ramji Lal. - Singapore :Springer Singapore :2017. - xviii, 432 p. :ill., digital ;24 cm. - Infosys science foundation series,2363-6149. - Infosys science foundation series..

Chapter 1. Vector Space -- Chapter 2. Matrices and Linear Equations -- Chapter 3. Linear Transformations -- Chapter 4. Inner Product Space -- Chapter 5. Determinants and Forms -- Chapter 6. Canonical Forms, Jordan and Rational Forms -- Chapter 7. General Linear Algebra -- Chapter 8. Field Theory, Galois Theory -- Chapter 9. Representation Theory of Finite Groups -- Chapter 10. Group Extensions and Schur Multiplier.

This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1-5) does not require any background material from Algebra 1, except an understanding of set theory. Linear algebra is the most applicable branch of mathematics, and it is essential for students of science and engineering As such, the text can be used for one-semester courses for these students. The remaining part of the volume discusses Jordan and rational forms, general linear algebra (linear algebra over rings), Galois theory, representation theory (linear algebra over group algebras), and the theory of extension of groups follow linear algebra, and is suitable as a text for the second and third year students specializing in mathematics.

ISBN: 9789811042560$q(electronic bk.)

Standard No.: 10.1007/978-981-10-4256-0doiSubjects--Topical Terms:

188312
Algebra.

LC Class. No.: QA152.3

Dewey Class. No.: 512

Algebra 2linear algebra, Galois theory, representation theory, group extensions and Schur multiplier /
LDR:02401nmm a2200325 a 4500 001 515344
003 DE-He213
005 20170505084934.0
006 m d
007 cr nn 008maaau
008 180126s2017 si s 0 eng d
020 $a 9789811042560$q(electronic bk.)
020 $a 9789811042553$q(paper)
024 7 $a 10.1007/978-981-10-4256-0 $2 doi
035 $a 978-981-10-4256-0
040 $a GP $c GP
041 0 $a eng
050 4 $a QA152.3
072 7 $a PBF $2 bicssc
072 7 $a MAT002050 $2 bisacsh
082 0 4 $a 512 $2 23
090 $a QA152.3 $b .L193 2017
100 1 $a Lal, Ramji. $3 785732
245 1 0 $a Algebra 2 $h [electronic resource] : $b linear algebra, Galois theory, representation theory, group extensions and Schur multiplier / $c by Ramji Lal.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2017.
300 $a xviii, 432 p. : $b ill., digital ; $c 24 cm.
490 1 $a Infosys science foundation series, $x 2363-6149
505 0 $a Chapter 1. Vector Space -- Chapter 2. Matrices and Linear Equations -- Chapter 3. Linear Transformations -- Chapter 4. Inner Product Space -- Chapter 5. Determinants and Forms -- Chapter 6. Canonical Forms, Jordan and Rational Forms -- Chapter 7. General Linear Algebra -- Chapter 8. Field Theory, Galois Theory -- Chapter 9. Representation Theory of Finite Groups -- Chapter 10. Group Extensions and Schur Multiplier.
520 $a This is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1-5) does not require any background material from Algebra 1, except an understanding of set theory. Linear algebra is the most applicable branch of mathematics, and it is essential for students of science and engineering As such, the text can be used for one-semester courses for these students. The remaining part of the volume discusses Jordan and rational forms, general linear algebra (linear algebra over rings), Galois theory, representation theory (linear algebra over group algebras), and the theory of extension of groups follow linear algebra, and is suitable as a text for the second and third year students specializing in mathematics.
650 0 $a Algebra. $3 188312
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Linear and Multilinear Algebras, Matrix Theory. $3 274063
650 2 4 $a Associative Rings and Algebras. $3 274818
650 2 4 $a Commutative Rings and Algebras. $3 274057
650 2 4 $a Non-associative Rings and Algebras. $3 274087
650 2 4 $a Group Theory and Generalizations. $3 274819
650 2 4 $a Number Theory. $3 274059
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Infosys science foundation series. $3 713003
856 4 0 $u http://dx.doi.org/10.1007/978-981-10-4256-0
950 $a Mathematics and Statistics (Springer-11649)