Bifurcations and Catastrophes : Geometry of Solutions to Nonlinear Problems, PDF eBook

Bifurcations and Catastrophes : Geometry of Solutions to Nonlinear Problems PDF

Part of the Universitext series

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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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