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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Bibliographic Details
Main Authors: Demazure, Michel. author., SpringerLink (Online service)
Format: Texto biblioteca
Language:eng
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000
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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