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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Hlavní autor: Fuhrmann, Paul A. (Autor, http://id.loc.gov/vocabulary/relators/aut)
Korporativní autor: SpringerLink (Online service)
Médium: Elektronický zdroj E-kniha
Jazyk:English
Vydáno: New York, NY : Springer New York : Imprint: Springer, 2012.
Vydání:2nd ed. 2012.
Edice:Universitext,
Témata:
On-line přístup:https://doi.org/10.1007/978-1-4614-0338-8
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Obsah:
  • 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.