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9789811042560
978-981-10-4256-0
10.1007/978-981-10-4256-0
doi
QA184-205
PBF
bicssc
MAT002050
bisacsh
PBF
thema
512.5
23
Lal, Ramji.
author.
aut
http://id.loc.gov/vocabulary/relators/aut
Algebra 2
[electronic resource] :
Linear Algebra, Galois Theory, Representation theory, Group extensions and Schur Multiplier /
by Ramji Lal.
1st ed. 2017.
Singapore :
Springer Singapore :
Imprint: Springer,
2017.
XVIII, 432 p.
online resource.
text
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online resource
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Infosys Science Foundation Series in Mathematical Sciences,
2364-4036
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.
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. .
Matrix theory.
Algebra.
Associative rings.
Rings (Algebra).
Commutative algebra.
Commutative rings.
Nonassociative rings.
Group theory.
Number theory.
Linear and Multilinear Algebras, Matrix Theory.
https://scigraph.springernature.com/ontologies/product-market-codes/M11094
Associative Rings and Algebras.
https://scigraph.springernature.com/ontologies/product-market-codes/M11027
Commutative Rings and Algebras.
https://scigraph.springernature.com/ontologies/product-market-codes/M11043
Non-associative Rings and Algebras.
https://scigraph.springernature.com/ontologies/product-market-codes/M11116
Group Theory and Generalizations.
https://scigraph.springernature.com/ontologies/product-market-codes/M11078
Number Theory.
https://scigraph.springernature.com/ontologies/product-market-codes/M25001
SpringerLink (Online service)
Springer Nature eBook
Printed edition:
9789811042553
Printed edition:
9789811042577
Printed edition:
9789811350894
Printed edition:
9789811398612
Infosys Science Foundation Series in Mathematical Sciences,
2364-4036
https://doi.org/10.1007/978-981-10-4256-0
ZDB-2-SMA
ZDB-2-SXMS
Mathematics and Statistics (SpringerNature-11649)
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