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Ordinary Differential Equations and Dynamical Systems, Gerald Teschl

Ordinary Differential Equations and Dynamical Systems by Gerald Teschl

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Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl .
This book is introduction with full proofs also covering classical topics such as Sturm–Liouville boundary value problems, differential equations in the complex domain as well as modern aspects of the qualitative theory of differential equations. The book is continued with a second part on Dynamical Systems and Chaos.

Title: Ordinary Differential Equations and Dynamical Systems
Author(s): Gerald Teschl
Publisher: Institut f¨ur Mathematik, Universit¨at Wien
Year: 2004
Pages: 349
Type: PDF
Language: English
Country: Austria
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About Author :-
Gerald Teschl (born 1970 in Graz) is an Austrian mathematical physicist and professor of mathematics. He works in the area of mathematical physics; in particular direct and inverse spectral theory with application to completely integrable partial differential equations (soliton equations).
He compelte his PhD in mathematics at the University of Missouri in 1995, thesis was Spectral Theory for Jacobi Operators and postdoctoral position at the Rheinisch-Westfälischen Technische Hochschule Aachen in 1996/97.
Since 1997 he has been a professor of mathematics at University of Vienna. In 1997 he received the Ludwig Boltzmann Prize from the Austrian Physical Society, 1999 the Prize of the Austrian Mathematical Society. In 2006 he was awarded with the prestigious START-Preis by the Austrian Science Fund (FWF). In 2011 he became a member of the Austrian Academy of Sciences (ÖAW).
His important research works are Sturm–Liouville theory, Jacobi operators and the Toda lattice. His most important contributions are to the fields of Sturm–Liouville theory, Jacobi operators and the Toda lattice. He also works in biomathematics, in particular in the novel area of breath gas analysis. He has written a successful undergraduate textbook (Mathematics for Computer Science, in German) with his wife Susanne Teschl.

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• Download PDF Real and Functional Analysis by Gerald Teschl NEW
• Download PDF Ordinary Differential Equations & Dynamical Systems by Gerald Teschl NEW

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Ordinary Differential Equations and Dynamical Systems written by Gerald Teschl cover the following topics.
Part-1 Classical theory
1. Introduction
2. Initial value problems
3. Linear equations
4. Differential equations in the complex domain
5. Boundary value problems
Part-2 Dynamical systems
6. Dynamical systems
7. Planar dynamical systems
8. Higher dimensional dynamical systems
9. Local behavior near fixed points
Part-3 Chaos
10. Discrete dynamical systems
11. Discrete dynamical systems in one dimension
12. Periodic solutions
13. Chaos in higher dimensional systems

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