Algebra 2 Linear Algebra Galois Theory Representation theory Group extensions and Schur Multiplier 1st Edition by Ramji Lal 9789811042553 9811042551

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Product details: 

ISBN 10: 9811042551

ISBN 13: 9789811042553

Author:Ramji Lal 

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.

 

Algebra 2 Linear Algebra Galois Theory Representation theory Group extensions and Schur Multiplier 1st Table of contents: 

1. Vector Spaces

2. Matrices and Linear Equations

3. Linear Transformations

4. Inner Product Spaces

5. Determinants and Forms

6. Canonical Forms, Jordan and Rational Forms

7. General Linear Algebra

8. Field Theory, Galois Theory

9. Representation Theory of Finite Groups

10. Group Extensions and Schur Multiplier

 

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