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＜電子ブック＞
Algebra 2 : Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier / by Ramji Lal
(Infosys Science Foundation Series in Mathematical Sciences. ISSN:23644044)

版	1st ed. 2017.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2017
大きさ	XVIII, 432 p : online resource
著者標目	*Lal, Ramji author SpringerLink (Online service)
件　名	LCSH:Algebras, Linear LCSH:Associative rings LCSH:Associative algebras LCSH:Commutative algebra LCSH:Commutative rings LCSH:Nonassociative rings LCSH:Group theory LCSH:Number theory FREE:Linear Algebra FREE:Associative Rings and Algebras FREE:Commutative Rings and Algebras FREE:Non-associative Rings and Algebras FREE:Group Theory and Generalizations FREE:Number Theory
一般注記	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. HTTP:URL=https://doi.org/10.1007/978-981-10-4256-0

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