Applied Linear Algebra: The Decoupling Principle - Couverture rigide

Sadun, Lorenzo

Couverture rigide

ISBN 10 : 0821844415 ISBN 13 : 9780821844410

Editeur : American Mathematical Society, 2008

Synopsis

Linear algebra permeates mathematics, as well as physics and engineering. In this text for junior and senior undergraduates, Sadun treats diagonalization as a central tool in solving complicated problems in these subjects by reducing coupled linear evolution problems to a sequence of simpler decoupled problems. This is the Decoupling Principle.

A propos du livre

Présentation de l'éditeur

For a second applied course in Linear Algebra or a rigorous first course for students of math, physics, engineering, and other sciences.

Built upon the principles of diagonalization and superposition, this text contains many important physical applications—such as population growth, normal modes of oscillations, waves, Markov chains, stability analysis, signal processing, and electrostatics—to show students the incredible power of linear algebra in the real world. The underlying ideas of breaking a vector into modes, and of decoupling a complicated system by suitable choice of linear coordinates, are emphasized throughout the book. It impresses upon students the importance of these principles, while giving them enough tools to use them effectively in a variety of settings.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2008
• Langue: anglais
• ISBN 10: 0821844415
• ISBN 13: 9780821844410
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 250
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible