Introduction to Ordinary Differential Equations with Mathematica
Springer-Verlag New York Inc.
978-0-387-94481-4 (ISBN)
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This text covers the standard topics in first and second order linear equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of nonlinear systems. Liberal use is made of programs in Mathematica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. However, the text has been designed so that it can be read with or without Mathematica and no previous knowledge of Mathematica is required. The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students.
Basic concepts; using Mathematica; first order differential equations; the package ODE.m; existence and uniqueness of solutions of first order differential equations - applications of first order equations - second order linear differential equations; second order linear differential equations with constant coefficients; using ODE.m to solve second order linear differential equations; applications of linear second order equations; higher order linear differential equations; numerical solutions of differential equations; the Laplace transform; systems of linear differential equations; phase portraits of systems; stability of nonlinear systems; applications of linear systems; power series solutions of second order equations; Frobenius solutions of second order equations.
| Zusatzinfo | 15 black & white tables, biography |
|---|---|
| Verlagsort | New York, NY |
| Sprache | englisch |
| Gewicht | 1695 g |
| Einbandart | gebunden |
| Themenwelt | Informatik ► Office Programme ► Outlook |
| Mathematik / Informatik ► Mathematik ► Analysis | |
| ISBN-10 | 0-387-94481-8 / 0387944818 |
| ISBN-13 | 978-0-387-94481-4 / 9780387944814 |
| Zustand | Neuware |
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