Partial Differential Equations and Boundary Value Problems with Maple 2nd Edition

Description

Partial Differential Equations and Boundary Value Problems with Maple presents all of the material normally covered in a standard course on partial differential equations, while focusing on the natural union between this material and the powerful computational software, Maple. The Maple commands are so intuitive and easy to learn, students can learn what they need to know about the software in a matter of hours- an investment that provides substantial returns. Maple's animation capabilities allow students and practitioners to see real-time displays of the solutions of partial differential equations. Maple files can be found on the books website.

* Provides a quick overview of the software w/simple commands needed to get started
* Includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations
* Incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions
* Numerous example problems and end of each chapter exercises

CONTENTS:

Preface

Chapter 0: Basic Review

Chapter 1: Ordinary Linear Differential Equations

Chapter 2: Sturm-Liouville Eigenvalue Problems and Generalized Fourier Series

Chapter 3: The Diffusion or Heat Partial Differential Equation

Chapter 4: The Wave Partial Differential Equation

Chapter 5: The Laplace Partial Differential Equation

Chapter 6: The Diffusion Equation in Two Spatial Dimensions

Chapter 7: The Wave Equation in Two Spatial Dimensions

Chapter 8: Nonhomogeneous Partial Differential Equations

Chapter 9: Infinite and Semi-infinite Spatial Domains

Chapter 10: Laplace Transform Methods for Partial Differential Equations

References

Index