A Polynomial Approach to Linear Algebra

• Κύριος συγγραφέας: Fuhrmann, Paul A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2012.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Matrix theory.; Algebra.; System theory.; Calculus of variations.; Linear and Multilinear Algebras, Matrix Theory.; Systems Theory, Control.; Calculus of Variations and Optimal Control; Optimization.

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...

Πίνακας περιεχομένων:

• 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.