Partial Differential Equations

The book intends as an undergraduate text for Partial Differential Equations (PDEs). The topic covered are the method of characteristics for the solution of linear and quasi-linear first order hyperbolic equations and second order linear hyperbolic PDEs. The method of separation of variables for the solution of linear parabolic, elliptic and hyperbolic PDEs as well as the Laplace and Fourier transforms. The book includes an introduction to the finite difference methods for the solution of PDEs and several methods for the solution of a single nonlinear equation.