Ebook: Differential Equations with Maple: An Interactive Approach
Author: Jon H. Davis (auth.)
- Genre: Computers // Software: Systems: scientific computing
- Tags: Ordinary Differential Equations, Computer-Aided Engineering (CAD CAE) and Design, Applications of Mathematics
- Year: 2001
- Publisher: Birkhäuser Basel
- Edition: 1
- Language: English
- pdf
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.
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Introduction to Maple....Pages 3-26
Front Matter....Pages 27-27
Introduction to Differential Equations....Pages 29-50
First Order Equations....Pages 51-79
Introduction to Numerical Methods....Pages 81-109
Higher Order Differential Equations....Pages 111-139
Laplace Transform Methods....Pages 141-172
Systems of Equations....Pages 173-196
Stability....Pages 197-219
Periodic Problems....Pages 221-244
Impedances and Differential Equations....Pages 245-257
Partial Differential Equations....Pages 259-278
Front Matter....Pages 279-279
Introduction to Maple Applications....Pages 281-282
Plotting With Maple....Pages 283-296
Maple and Laplace Transforms....Pages 297-305
Maple Linear Algebra Applications....Pages 307-322
Runge-Kutta Designs....Pages 323-354
Maple Packages....Pages 355-387
Back Matter....Pages 389-409
Content:
Front Matter....Pages i-xiv
Front Matter....Pages 1-1
Introduction to Maple....Pages 3-26
Front Matter....Pages 27-27
Introduction to Differential Equations....Pages 29-50
First Order Equations....Pages 51-79
Introduction to Numerical Methods....Pages 81-109
Higher Order Differential Equations....Pages 111-139
Laplace Transform Methods....Pages 141-172
Systems of Equations....Pages 173-196
Stability....Pages 197-219
Periodic Problems....Pages 221-244
Impedances and Differential Equations....Pages 245-257
Partial Differential Equations....Pages 259-278
Front Matter....Pages 279-279
Introduction to Maple Applications....Pages 281-282
Plotting With Maple....Pages 283-296
Maple and Laplace Transforms....Pages 297-305
Maple Linear Algebra Applications....Pages 307-322
Runge-Kutta Designs....Pages 323-354
Maple Packages....Pages 355-387
Back Matter....Pages 389-409
....