Bifurcations and Catastrophes: Geometry of Solutions to Nonlinear Problems
- ISBN-10
- 3642571344
- ISBN-13
- 9783642571343
- Category
- Mathematics
- Pages
- 304
- Language
- English
- Published
- 2013-06-29
- Publisher
- Springer Science & Business Media
- Author
- Michel Demazure
Description
Based on a lecture course, this text gives a rigorous introduction to nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach allowing a clear focus on the essential mathematical structures. 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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