ABSTRACT

This 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

chapter 1|78 pages

Fourier Series

chapter 2|34 pages

Sturm-Liouville Theory

chapter 3|128 pages

One-Dimensional Hyperbolic Equations

chapter 4|86 pages

Two-Dimensional Hyperbolic Equations

chapter 5|92 pages

One-Dimensional Parabolic Equations

chapter 7|124 pages

Elliptic Equations

chapter 8|64 pages

Bessel Functions

chapter 9|66 pages

Legendre Functions