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 ...
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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.
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