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Bifurcations and Catastrophes [electronic resource] : Geometry of Solutions to Nonlinear Problems /
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.
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| Main Authors: | , |
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| Format: | Texto biblioteca |
| Language: | eng |
| Published: |
Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer,
2000
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| Subjects: | Mathematics., Dynamics., Ergodic theory., Global analysis (Mathematics)., Manifolds (Mathematics)., Differential geometry., Differential Geometry., Global Analysis and Analysis on Manifolds., Dynamical Systems and Ergodic Theory., |
| Online Access: | http://dx.doi.org/10.1007/978-3-642-57134-3 |
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| 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 common to different branches of the subject while giving ample references for more advanced or technical developments. |
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