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Partial Differential Equations & Boundary Value Problems with Maple
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  • Partial Differential Equations & Boundary Value Problems with Maple
ID: 174176
George Articolo
Wycofany
Partial Differential Equations and Boundary Value Problems with Maple 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.  Maple files can be found on the books website.


  • 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


Preface


Chapter 0: Basic Review


Chapter 1: Ordinary Linear Differential Equations


Chapter 2: Sturm-Liouville Eigenvalue Problems and Generalized Fourier Series


Chapter 3: The Diffusion or Heat Partial Differential Equation


Chapter 4: The Wave Partial Differential Equation


Chapter 5: The Laplace Partial Differential Equation


Chapter 6: The Diffusion Equation in Two Spatial Dimensions


Chapter 7: The Wave Equation in Two Spatial Dimensions


Chapter 8: Nonhomogeneous Partial Differential Equations


Chapter 9: Infinite and Semi-infinite Spatial Domains


Chapter 10: Laplace Transform Methods for Partial Differential Equations


References


Index

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