Applied Linear Algebra

The Decoupling Principle

Lorenzo Sadun

350 pages, parution le 09/01/2002

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Résumé

An useful reference, this book could easily be subtitled: All the Linear Algebra I Learned from Doing Physics that I Wished Somebody had Taught Me First. Built upon the principles of diagonalization and superposition, it contains many important physical applications—such as population growth, normal modes of oscillations, waves, Markov chains, stability analysis, signal processing, and electrostatics—in order to demonstrate the incredible power of linear algebra in the 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. Chapter topics most useful to professional engineers and physicists include—but are not limited to—the wave equation, continuos spectra, fourier transforms, and Green's function. For electrical engineers, physicists, and mechanical engineers.

Contents

The Decoupling Principle.
Vector Spaces and Bases.
Linear Transformations.
An Introduction to Eigenvalues.
Some Crucial Applications.
Inner Products.
Adjoints.
The Wave Equation.
Continuous Spectra.
Fourier Transforms.
Green's Functions.

Caractéristiques techniques

	PAPIER
Éditeur(s)	Prentice Hall
Auteur(s)	Lorenzo Sadun
Parution	09/01/2002
Nb. de pages	350
Format	16 x 23,5
Couverture	Relié
Poids	605g
Intérieur	Noir et Blanc
EAN13	9780130856456
ISBN13	978-0-13-085645-6