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

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Algebra 2/ by Ramji Lal.
其他題名:	linear algebra, Galois theory, representation theory, group extensions and Schur multiplier /
作者:	Lal, Ramji.
出版者:	Singapore :Springer Singapore : : 2017.,
面頁冊數:	xviii, 432 p. :ill., digital ; : 24 cm.;
Contained By:	Springer eBooks
標題:	Algebra. -
電子資源:	http://dx.doi.org/10.1007/978-981-10-4256-0
ISBN:	9789811042560

Algebra 2 = linear 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

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

579870
Algebra.

LC Class. No.: QA152.3

Dewey Class. No.: 512

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