Applied Linear Algebra: The Decoupling Principle

Front Cover
Prentice Hall, 2001 - Mathematics - 349 pages
0 Reviews
A 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.

From inside the book

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

The Decoupling Principle
1
Vector Spaces and Bases
9
Linear Transformations and Operators
37
Copyright

9 other sections not shown

Common terms and phrases

Bibliographic information