Henner V., Belozerova T., Forinash K. Mathematical Methods in Physics: Partial Differential Equations, Fourier Series, and Special Functions

A K Peters, 2009. — 859 p. — ISBN: 156881335XThis book is a text on partial differential equations (PDEs) of mathematical physics and boundary value problems, trigonometric Fourier series, and special functions. This is the core content of many courses in the fields of engineering, physics, mathematics, and applied mathematics. The accompanying software provides a laboratory environment that allows the user to generate and model different physical situations and learn by experimentation. From this standpoint, the book along with the software can also be used as a reference book on PDEs, Fourier series and special functions for students and professionals alike.Fourier Series
Sturm-Liouville Theory
One-Dimensional Hyperbolic Equations
Two-Dimensional Hyperbolic Equations
One-Dimensional Parabolic Equations
Parabolic Equations for Higher-Dimensional Problems
Elliptic Equations
Bessel Functions
Legendre Functions
Eigenvalues and Eigenfunctions of the Sturm-Liouville Problem
Auxiliary Functions for Different Types of Boundary Conditions
The Sturm-Liouville Problem and the Laplace Equation
Vector Calculus
How to Use the Software Associated with this Book