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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Fuhrmann, Paul A. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2012.
Edición:2nd ed. 2012.
Colección:Universitext,
Temas:
Algebras, Linear.
System theory.
Control theory.
Mathematical optimization.
Calculus of variations.
Linear Algebra.
Systems Theory, Control .
Calculus of Variations and Optimization.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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.

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