A Polynomial Approach to Linear Algebra
A Polynomial Approach to Linear Algebra is a text which is heavily biased towards functional methods. In using the shift operator as a central object, it makes linear algebra a perfect introduction to other areas of mathematics, operator theory in particular. This technique is very powerful as becom...
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York, NY :
Springer New York : Imprint: Springer,
2012.
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| Edition: | 2nd ed. 2012. |
| Series: | Universitext,
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| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-1-4614-0338-8 |
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Table of Contents:
- Preliminaries
- Linear Spaces
- Determinants
- Linear Transformations
- The Shift Operator
- Structure Theory of Linear Transformations
- Inner Product Spaces
- Quadratic Forms
- Stability
- Elements of System Theory
- Hankel Norm Approximation.