Beschreibung:
The second edition of this popular text incorporates the fourth version of the software package Mathematica (4.x). It includes an added section of Mathematica projects in each chapter, a completely revised chapter on Green's functions, a 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. Mathematica programs from the book are available on the CRC Web site.
Introduction to Mathematica. Introduction. Method of Characteristics. Linear Equations with Constant Coefficients. Orthogonal Expansions. Separation of Variables. Integral Transforms. Green's Functions. Weighted Residual Methods. Perturbation Methods. Finite Differences. Boundary Value Problems. Appendices.