000			01863nam a22001697a 4500
005			20240731094818.0
008			240731b |||||||| |||| 00| 0 eng d
020			_a9789811350894
082			_a512.2 _bLAL
100			_aLal,Ramji
245			_aAlgebra 2 : _b linear algebra, Galois theory, representation theory, group extensions and Schur multiplier _cRamji Lal
260			_aSingapore _b Springer Nature Singapore Pte Ltd. _c 2017
300			_a432P
505			_tChapter 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			_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. .
942			_2ddc _cBK
999			_c2350 _d2350