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Bifurcations and catastrophes : geometry of solutions to nonlinear problems

Author: Michel Demazure
Publisher: Berlin ; New York : Springer, 2000.
Series: Universitext.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Michel Demazure
ISBN: 3540521186 9783540521181
OCLC Number: 42682714
Notes: Originally published: Géométrie-catastrophes et bifurcations, 1989.
Description: viii, 301 pages : illustrations ; 24 cm.
Contents: 1. Local Inversion --
2. Submanifolds --
3. Transversality Theorems --
4. Classification of Differentiable Functions --
5. Catastrophe Theory --
6. Vector Fields --
7. Linear Vector Fields --
8. Singular Points of Vector Fields --
9. Closed Orbits --
Structural Stability --
10. Bifurcations of Phase Portraits.
Series Title: Universitext.
Other Titles: Géométrie-catastrophes et bifurcations.
Responsibility: Michel Demazure ; translated from the French by David Chillingworth.
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Abstract:

Based on a lecture course, this text gives a rigorous introduction to nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. It brings out features common to  Read more...

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"This book gives an introduction to the basic ideas in dynamical systems and catastrophe and bifurcation theory. It starts with the geometrical concepts which are necessary for the rest of the book. Read more...

 
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