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Bifurcations and Catastrophes - Geometry of Solutions to Nonlinear Problems
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Résumé
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 common to different branches of the subject while giving ample references for more advanced or technical developments.
Sommaire
- Local Inversion
- Submanifolds
- Transversality Theorems
- Classification of Differentiable Functions
- Catastrophe Theory
- Vector Fields
- Linear Vector Fields
- Singular Points of Vector Fields
- Closed Orbits - Structural Stability
- Bifurcations of Phase Portraits.
Caractéristiques
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Date de parution16/12/1999
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Editeur
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Collection
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ISBN3-540-52118-6
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EAN9783540521181
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PrésentationBroché
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Nb. de pages301 pages
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Poids0.425 Kg
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Dimensions15,6 cm × 23,5 cm × 1,7 cm
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À propos de l'auteur
Biographie de Michel Demazure
Michel Demazure was university professor in mathematics from 1967, first at the Université Paris-Sud (1967-1976) and then at Ecole Polytechnique (1976-1999). From 1991 to 1998 he was executive director Of the Palais de la découverte in Paris. In 1998, he was appointed chairman of the Cité des Sciences et de l'Industrie, the world famous science complex in La Villette, Paris. His original research area is algebraic geometry in which he published several books and numerous articles. Later he worked on the interface of mathematics and computer science.Du même auteur
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