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Partial Differential Equations & Boundary Value Problems with Maple V [Hardcover]

George A. Articolo (Author)
4.0 out of 5 stars  See all reviews (1 customer review)


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Partial Differential Equations & Boundary Value Problems with Maple, Second Edition Partial Differential Equations & Boundary Value Problems with Maple, Second Edition 3.5 out of 5 stars (2)
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Book Description

May 8, 1998 0120644754 978-0120644759 1
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.


Editorial Reviews

Review

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

From the Back Cover

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.

Product Details

  • Hardcover: 628 pages
  • Publisher: Academic Press; 1 edition (May 8, 1998)
  • Language: English
  • ISBN-10: 0120644754
  • ISBN-13: 978-0120644759
  • Product Dimensions: 9.2 x 7.6 x 1.4 inches
  • Shipping Weight: 2.6 pounds
  • Average Customer Review: 4.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon Best Sellers Rank: #2,963,416 in Books (See Top 100 in Books)

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4 of 5 people found the following review helpful:
4.0 out of 5 stars Complex Presentation of ODE w/Maple--Excellent nevertheless, March 20, 2000
This review is from: Partial Differential Equations & Boundary Value Problems with Maple V (Hardcover)
This is a great book for someone who has a solid understanding of ODE's,and Linear Algebra and wishing to use Maple V to solve PDE's. Not for the beginner in terms of mathematics background.
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Inside This Book (learn more)
First Sentence:
This text in applied partial differential equations combines the traditional presentation of mathematical concepts with the contemporary computational benefits of the Maple V software. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
animation command shows, corresponding orthonormalized eigenfunctions, animated solution, indexed eigenvalues, rod whose lateral surface, eigenvalue equation yields, nonhomogeneous diffusion equation, fixed temperature zero, initial speed distribution, wave partial differential equation, final series solution, initial displacement function, nonhomogeneous partial differential equation, preceding eigenfunctions, boundary conditions over the interval, initial displacement distribution, respective weight functions, corresponding orthonormal eigenfunctions, generalized series expansion, linear wave operator, singular eigenfunctions, diffusion partial differential equation, allowed eigenvalues, system basis vectors, thin rectangular membrane
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Evaluation of Fourier, Example Diffusion Problems, Evaluation of the Wronskian, Laplace Transform Procedures, Solve Exercise, Evaluation of the Green, Use the Green, Consider the Cauchy-Euler, Nonhomogeneous Partial Differential Equations
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