The new edition of this popular text incorporates the latest version of the software package Mathematica. It includes a new section of Mathematica projects in each chapter, a completely revised chapter on Green's functions, a new chapter on boundary value problems, and additional material on inverse operators, Legendre functions, and Bessel functions. Unlike most books on partial differential equations, which are written primarily for graduate mathematics students, this text is written from a more applied perspective and is specifically designed for service courses for engineering and science students. Mathematica programs from the book will be available on the CRC Web site.    Synopsis   Written by two instructors at the U. of New Orleans and a researcher, this text is designed as a beginner's textbook for the advanced undergraduate or graduate. Students are taught the basics of Mathematica before the main subject is introduced. The main topics of partial differential equations and boundary value problems feature chapters on Fourier and Laplace transforms, wave propagation and dispersion, boundary layer flows, ill-posed problems, perturbation methods, and numerical methods based on finite differences. The new edition has a simplified treatment of Green's function, a new chapter on boundary value problems, and an expanded and upgraded treatment of Mathematica. Annotation c. Book News, Inc., Portland, OR