TY - BOOK
AU - Lal, Ramji.
ED - SpringerLink (Online service)
TI - Algebra 2: Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier
T2 - Infosys Science Foundation Series in Mathematical Sciences,
SN - 9789811042
AV - QA184-205
U1 - 512.5 23
PY - 2017///
CY - Singapore
PB - Springer Singapore, Imprint: Springer
KW - Matrix theory
KW - Algebra
KW - Associative rings
KW - Rings (Algebra)
KW - Commutative algebra
KW - Commutative rings
KW - Nonassociative rings
KW - Group theory
KW - Number theory
KW - Linear and Multilinear Algebras, Matrix Theory
KW - Associative Rings and Algebras
KW - Commutative Rings and Algebras
KW - Non-associative Rings and Algebras
KW - Group Theory and Generalizations
KW - Number Theory
N1 - 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
N2 - 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.
UR - https://doi.org/10.1007/978-981-10-4256-0
ER -