Ordinary Differential Equations and Dynamical Systems

Ordinary Differential Equations and Dynamical Systems
Language:English
Publisher: G. Teschl | 2004 | 237 pages | ISBN: 3540612203 | PDF | 2,3 mb

The present manuscript constitutes the lecture notes for my courses Ordinary Differential Equations and Dynamical Systems and Chaos held at the University of Vienna in Summer 2000 (5hrs.) and Winter 2000/01 (3hrs), respectively.
It is supposed to give a self contained introduction to the field of ordinary differential equations with emphasize on the view point of dynamical systems. It only requires some basic knowledge from calculus, complex functions, and linear algebra which should be covered in the usual courses. I tried to show how a computer system, Mathematica, can help with the investigation of differential equations. However, any other program can be used as well.

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