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.

Ancillary list:
Maple files- 

Key Features

  • 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


Upper-level undergraduate and graduate level students in Partial Differential Equations and boundary value problems courses as well as students in mathematics, physics, engineering taking courses in thermal dynamics, acoustics, electromagnetic wave theory and quantum mechanics

Table of Contents

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


No. of pages:
© 2009
Academic Press
Print ISBN:
Electronic ISBN:


Review of the previous edition:
"Integrating Maple V animation software and traditional topics of partial differential equations, this text discusses first and second-order differential equations, Sturm-Liouville eigenvalue problems, generalized Fourier series, the diffusion or heat equation and the wave equation in one and two spatial dimensions, the Laplace equation in two spatial dimensions, nonhomogenous versions of the diffusion and wave equations, and Laplace transform methods of solution. The CD-ROM contains real-time animations of solutions of partial differential equations using Maple V." --Book News