Ebook: Introduction to partial differential equations

Contenido: What are partial differential equations?. -- Linear and nonlinear waves. -- Fourier series. -- Separation of variables. -- Finite differences. -- Generalized functions and Green's functions. -- Fourier transforms. -- Linear and nonlinear evolution equations. -- A general framework for linear partial differential equations. -- Finite elements and weak solutions. -- Dynamics of planar media. -- Partial differential equations in space. .