Partial Differential Equations and Boundary Value Problems with Maple

ISBN-13: 9780123747327 / Angielski / Miękka / 2009 / 719 str.

George A. Articolo

Opis

Partial Differential Equations and Boundary Value Problems with Maple, Second Edition, 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. This updated edition provides a quick overview of the software w/simple commands needed to get started. It includes review material on linear algebra and Ordinary Differential equations, and their contribution in solving partial differential equations. It also incorporates an early introduction to Sturm-Liouville boundary problems and generalized eigenfunction expansions. Numerous example problems and end of each chapter exercises are provided.

• 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

Recenzje

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

Spis treści

1. Ordinary Linear Differential Equations2. Sturm-Liouville Eigenvalue Problems and Generalized Fourier Series3. The Diffusion or Heat Partial Differential Equation4. The Wave Partial Differential Equation5. The Laplace Partial Differential Equation6. The Diffusion Equation in Two Spatial Dimensions7. The Wave Equation in Two Spatial Dimensions8. Nonhomogeneous Partial Differential Equations9. Infinite and Semi-infinite Spatial Domains10. Laplace Transform Methods for Partial Differential Equations

O autorze

Articolo, George A.
Dr. George A. Articolo has 35 years of teaching experience in physics and applied mathematics at Rutgers University, and has been a consultant for several government research laboratories and aerospace corporations. He has a Ph.D. in mathematical physics with degrees from Temple University and Rensselaer Polytechnic Institute.