Comprises a course on partial differential equations for physicists, engineers, and mathematicians. Uses a geometric approach in providing an overview of mathematical physics. Uses Mathematica
to perform complex algebraic manipulations, display simple animations and 3D solutions, and write programs to solve differential equations. An electronic supplement is available.
Introduction | First-Order Partial Differential Equations | Second-Order Partial Differential Equations | Separation of Variables and the Sturm-Liouville Problem | Series Solutions of Ordinary Differential Equations | Special Functions and Orthogonal Polynomials | Transform Methods and Green's Functions | Integral Representations | Introduction to Nonlinear Partial Differential Equations | The Method of Inverse Scattering