Algebra 2
Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier
Lal, Ramji.
creator
author.
aut
http://id.loc.gov/vocabulary/relators/aut
SpringerLink (Online service)
text
si
2017
1st ed. 2017.
monographic
eng
access
XVIII, 432 p. online resource.
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. .
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.
by Ramji Lal.
Matrix theory
Algebra
Associative rings
Rings (Algebra)
Commutative algebra
Commutative rings
Nonassociative rings
Group theory
Number theory
Linear and Multilinear Algebras, Matrix Theory
Associative Rings and Algebras
Commutative Rings and Algebras
Non-associative Rings and Algebras
Group Theory and Generalizations
Number Theory
QA184-205
512.5
Springer Nature eBook
Infosys Science Foundation Series in Mathematical Sciences
9789811042560
https://doi.org/10.1007/978-981-10-4256-0
https://doi.org/10.1007/978-981-10-4256-0
170505
20210118114613.0
978-981-10-4256-0