Partial Differential Equations: An Introduction With Mathematica and Maple, 2/e

“This textbook is a self-contained introduction to Partial Differential Equations (PDEs). It is designed for Undergraduate and first year graduate students who are mathematics, physics, engineering or, in general, science majors. The goal is to give an introduction to the basic equations of mathematical physics and the properties of their solutions, based on classical calculus and ordinary differential equations. Advanced concepts such as weak solutions and discontinuous solutions of nonlinear conservation laws are also considered. Although much of the material contained in this book can be found in standard textbooks, the treatment here is reduced to the following features: To consider first and second order linear classical PDEs, as well as to present some ideas for nonlinear equations. To give explicit formulae and derive properties of solutions for problems with homogeneous and inhomogeneous equations; without boundaries and with boundaries. To consider the one dimensional spatial case before going on to two and three dimensional cases. To illustrate the effects for different problems with model examples: To use Mathematics software products as Mathematzca and MAPLE in ScientifiCWorkPlacE in both graphical and computational aspects; To give a number of exercises completing the explanation to some advanced problems. The book consists of eight Chapters, each one divided into several sections. ”