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101 0 $aeng
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200 10$aAlgebra 2$b[electronic resource] $eLinear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier /$fby Ramji Lal
205   $a1st ed. 2017.
210  1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2017.
215   $a1 online resource (XVIII, 432 p.) 
225 1 $aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4036
311   $a981-10-4255-1 
327   $aChapter 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.
330   $aThis is the second in a series of three volumes dealing with important topics in algebra. Volume 2 is an introduction to linear algebra (including linear algebra over rings), Galois theory, representation theory, and the theory of group extensions. The section on linear algebra (chapters 1?5) does not require any background material from Algebra 1, except an understanding of set theory. Linear algebra is the most applicable branch of mathematics, and it is essential for students of science and engineering As such, the text can be used for one-semester courses for these students. The remaining part of the volume discusses Jordan and rational forms, general linear algebra (linear algebra over rings), Galois theory, representation theory (linear algebra over group algebras), and the theory of extension of groups follow linear algebra, and is suitable as a text for the second and third year students specializing in mathematics. .
410  0$aInfosys Science Foundation Series in Mathematical Sciences,$x2364-4036
606   $aMatrix theory
606   $aAlgebra
606   $aAssociative rings
606   $aRings (Algebra)
606   $aCommutative algebra
606   $aCommutative rings
606   $aNonassociative rings
606   $aGroup theory
606   $aNumber theory
606   $aLinear and Multilinear Algebras, Matrix Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M11094
606   $aAssociative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11027
606   $aCommutative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11043
606   $aNon-associative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11116
606   $aGroup Theory and Generalizations$3https://scigraph.springernature.com/ontologies/product-market-codes/M11078
606   $aNumber Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M25001
615  0$aMatrix theory.
615  0$aAlgebra.
615  0$aAssociative rings.
615  0$aRings (Algebra).
615  0$aCommutative algebra.
615  0$aCommutative rings.
615  0$aNonassociative rings.
615  0$aGroup theory.
615  0$aNumber theory.
615 14$aLinear and Multilinear Algebras, Matrix Theory.
615 24$aAssociative Rings and Algebras.
615 24$aCommutative Rings and Algebras.
615 24$aNon-associative Rings and Algebras.
615 24$aGroup Theory and Generalizations.
615 24$aNumber Theory.
676   $a512.9
700   $aLal$b Ramji$4aut$4http://id.loc.gov/vocabulary/relators/aut$0767330
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910254274803321
996   $aAlgebra 2$91974899
997   $aUNINA