Differential Equations with Maple: An Interactive Approach / Edition 1

Differential Equations with Maple: An Interactive Approach / Edition 1

by Jon Davis, J. H. Davis
     
 

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

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Overview

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.

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Product Details

ISBN-13:
9780817641818
Publisher:
Birkhauser Verlag
Publication date:
12/01/2000
Edition description:
2001
Pages:
411
Product dimensions:
0.94(w) x 9.21(h) x 6.14(d)

Table of Contents

Preface
IMaple Use and Programming1
1Introduction to Maple3
IIDifferential Equations27
2Introduction to Differential Equations29
3First Order Equations51
4Introduction to Numerical Methods81
5Higher Order Differential Equations111
6Laplace Transform Methods141
7Systems of Equations173
8Stability197
9Periodic Problems221
10Impedances and Differential Equations245
11Partial Differential Equations259
IIIMaple Application Topics279
12Introduction to Maple Applications281
13Plotting With Maple283
14Maple and Laplace Transforms297
15Maple Linear Algebra Applications307
16Runge-Kutta Designs323
17Maple Packages355
App. AReview Problems391
App. BLaplace Transform Table401
References403
Index405

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