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Birkhäuser

Differential Equations with Maple

An Interactive Approach

  • Textbook
  • © 2001

Overview

Authors:
  1. Jon H. Davis

    1. Department of Mathematics and Statistics, Queen’s University, Kingston, Canada

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xvii
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  2. Maple Use and Programming

    1. Front Matter

      Pages 1-1
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    2. Introduction to Maple

      • Jon H. Davis
      Pages 3-26

  3. Differential Equations

    1. Front Matter

      Pages 27-27
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    2. Introduction to Differential Equations

      • Jon H. Davis
      Pages 29-50

    3. First Order Equations

      • Jon H. Davis
      Pages 51-79

    4. Introduction to Numerical Methods

      • Jon H. Davis
      Pages 81-109

    5. Higher Order Differential Equations

      • Jon H. Davis
      Pages 111-139

    6. Laplace Transform Methods

      • Jon H. Davis
      Pages 141-172

    7. Systems of Equations

      • Jon H. Davis
      Pages 173-196

    8. Stability

      • Jon H. Davis
      Pages 197-219

    9. Periodic Problems

      • Jon H. Davis
      Pages 221-244

    10. Impedances and Differential Equations

      • Jon H. Davis
      Pages 245-257

    11. Partial Differential Equations

      • Jon H. Davis
      Pages 259-278

  4. Maple Application Topics

    1. Front Matter

      Pages 279-279
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    2. Introduction to Maple Applications

      • Jon H. Davis
      Pages 281-282

    3. Plotting With Maple

      • Jon H. Davis
      Pages 283-296

    4. Maple and Laplace Transforms

      • Jon H. Davis
      Pages 297-305

    5. Maple Linear Algebra Applications

      • Jon H. Davis
      Pages 307-322

    6. Runge-Kutta Designs

      • Jon H. Davis
      Pages 323-354
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Keywords

About this book

Differential equations is a subject of wide applicability, and knowledge of dif­ Differential equations is a subject of wide applicability, and knowledge of dif­ ferential ferential equations equations topics topics permeates permeates all all areas areas of of study study in in engineering engineering and and applied applied mathematics. mathematics. Some Some differential differential equations equations are are susceptible susceptible to to analytic analytic means means of of so­ so­ lution, lution, while while others others require require the the generation generation of of numerical numerical solution solution trajectories trajectories to to see see the the behavior behavior of of the the system system under under study. study. For For both both situations, situations, the the software software package package Maple Maple can can be be used used to to advantage. advantage. To To the the student student Making Making effective effective use use of of differential differential equations equations requires requires facility facility in in recognizing recognizing and and solving solving standard standard "tractable" "tractable" problems, problems, as as well well as as having having the the background background in in the the subject subject to to make make use use of of tools tools for for dealing dealing with with situations situations that that are are not not amenable amenable to to simple simple analytic analytic approaches. approaches.

Reviews

"A very novel approach to the teaching/learning of all basic aspects of differential equations. … The book, therefore, provides an introduction to MAPLE as well as standard material on differential equations written in a friendly style." —Aslib Book Guide

"The course in differential equations starts with fairly well-explained examples from different fields of application. The theory is presented in a student-friendly, understandable form.… The problems presented at the end of each chapter contain material for using the theory or the tools presented in the frame of MAPLE. … The textbook is recommended for those who start solving differential equation problems by MAPLE and also for those who need an introduction in (mainly ordinary) differential equations." —Applications of Mathematics

 

Authors and Affiliations

  • Department of Mathematics and Statistics, Queen’s University, Kingston, Canada

    Jon H. Davis

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