Differential Equations with Mathematica, Second Edition
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More About This Title Differential Equations with Mathematica, Second Edition
English
This book changes the emphasis in the traditional ordinary differential equations (ODE) course by using a mathematical software system to introduce numerical methods, geometric interpretation, symbolic computation, and qualitative analysis into the course in a basic way. Includes concise instructions for using Mathematica on three popular computer platforms: Windows, Macintosh, and the X Window System. It focuses on the specific features of Mathematica that are useful for analyzing differential equations, and it also describes the features of the Mathematica "Notebook" interface that are necessary for creating a finished document.
English
Getting Started with Mathematica.
Doing Mathematics with Mathematica.
Using Mathematica Notebooks.
Solutions of Differential Equations.
A Qualitative Approach to Differential Equations.
Numerical Methods.
Features of Mathematica.
Qualitative Theory of Second Order Linear Equations.
Series Solutions.
Laplace Transforms.
Higher Order Equations and Systems of First Order Equations.
Qualitative Theory for Systems of Differential Equations.
Index.
Doing Mathematics with Mathematica.
Using Mathematica Notebooks.
Solutions of Differential Equations.
A Qualitative Approach to Differential Equations.
Numerical Methods.
Features of Mathematica.
Qualitative Theory of Second Order Linear Equations.
Series Solutions.
Laplace Transforms.
Higher Order Equations and Systems of First Order Equations.
Qualitative Theory for Systems of Differential Equations.
Index.
