Partial Differential Equations & Boundary Value Problems With Maple V - Softcover

Críticas

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

Reseña del editor

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