Overview
George Articulo covers all the material found in traditional partial differentiation equations and boundary value courses in this textbook. Its unique approach allows students to learn the mathematics first, then use Maple graphics capabilities to visualize both static and animated behavior of the solution. The book provides many example problems using commands that render two- or three-dimensional animated graphics. The author focuses on the natural union between partial differential equations and a powerful computational language such as Maple.* Assumes no previous experience with Maple V; provides a quick review of the language with some simple commands needed to get started and a quick review of linear algebra
* Includes a review material in linear algebra and ordinary differential equations, and their contribution in solving partial differential equations
* Includes an early introduction to Sturm-Liouille boundary problems and generalized eigenfuction expansions
* Numerous example problems in both one and two spatial dimensions, in both the rectangular and cylindrical coordinate systems; an abundant array of exercises problems at the end of each chapter
* CD-ROM enclosed allows for rapid reader involvement, through interaction with real-time animation's of solutions of partial differential equations.
Audience: Senior and graduate-level students taking courses in partial differential equations and boundary value problems; senior and graduate-level students in mathematics, physics, and engineering. Students taking courses in thermal dynamics, acoustics, electromagnetic wave theory, and quantum mechanics.
Synopsis
A must-have for engineers and engineering students; mathematics that captures the eye and the imagination!
Partial Differential Equations and Boundary Value Problems with Maple V 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 V. The Maple V commands are so intuitive and easy to learn, that students can pick up 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; the enclosed CD-ROM is filled with such animations.
Key Features:
* Assumes no previous experience with Maple V; provides a quick review of the language with some simple commands needed to get started and a quick review of linear algebra
* Includes a review material in linear algebra and ordinary differential equations, and their contribution in solving partial differential equations
* Includes an early introduction to Sturm-Liouille boundary problems and generalized eigenfuction expansions
* Numerous example problems in both one and two spatial dimensions, in both the rectangular and cylindrical coordinate systems; an abundant array of exercises problems at the end of each chapter
* CD-ROM enclosed allows for rapid reader involvement, through interaction with real-time animation's of solutions of partial differential equations.
Booknews
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. Annotation c. by Book News, Inc., Portland, Or.
Editorials
From the Publisher
From Book News, Inc.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, Inc.®, Portland, OR