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.
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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.
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.
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