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

By:

Lal,Ramji

Material type: Text

TextPublication details: Singapore Springer Nature Singapore Pte Ltd. 2017Description: 432PISBN:

9789811350894

DDC classification:

512.2 LAL

Contents:

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 .

Summary: 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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Item type	Current library	Collection	Call number	Status	Date due	Barcode
Books	IIITDM Kurnool SCIENCES	Non-fiction	512.2 LAL (Browse shelf(Opens below))	Checked out	22.10.2025	0005888
Reference	IIITDM Kurnool Reference	Reference	512.2 LAL (Browse shelf(Opens below))	Not For Loan		0005889

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Previous	512.2 LAL Algebra 1 groups, rings, fields and arithmetic	512.2 LAL Algebra 1 groups, rings, fields and arithmetic	512.2 LAL Algebra 1 groups, rings, fields and arithmetic	512.2 LAL Algebra 2 : linear algebra, Galois theory, representation theory, group extensions and Schur multiplier	512.2 LAL Algebra 3 : Homological Algebra and Its Applications	512.2 LAL Algebra 4: Lie Algebras, Chevalley Groups, and Their Representations	512.5 FOR Numerical Linear Algebra with Applications Using MATLAB	Next

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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