Algebra 2 : Linear Algebra, Galois Theory, Representation theory, 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 n...
Saved in:
Main Authors: | |
---|---|
Corporate Authors: | |
Published: |
Springer Singapore : Imprint: Springer,
|
Publisher Address: | Singapore : |
Publication Dates: | 2017. |
Literature type: | eBook |
Language: | English |
Series: |
Infosys Science Foundation Series,
|
Subjects: | |
Online Access: |
http://dx.doi.org/10.1007/978-981-10-4256-0 |
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 remainin |
Carrier Form: | 1 online resource (XVIII, 237 pages). |
ISBN: | 9789811042560 |
Index Number: | QA184 |
CLC: | O151.2 |
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. |