Titlebook: Bifurcations and Catastrophes; Geometry of Solution Michel Demazure Textbook 2000 Springer-Verlag Berlin Heidelberg 2000 Bifurcations.Catas

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https://doi.org/10.1007/b137719In this introduction we try to give some idea of the motivation and content of the course of lectures on which this book was based. Most of the points mentioned will be discussed in the text, but some of them are referred to merely in order to indicate possible extensions.

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Introduction,In this introduction we try to give some idea of the motivation and content of the course of lectures on which this book was based. Most of the points mentioned will be discussed in the text, but some of them are referred to merely in order to indicate possible extensions.

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Transversality Theorems,In this chapter we look into a topic which is the modern version of an old idea, namely ’general position’, and we shall try to explain why it is important.

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Local Inversion,ther is invertible, and what regularity can we hope for in the inverse map? In fact it is very rare to be able to prove that the map is globally invertible, and we have to restrict ourselves to a ’local’ statement.

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Karl-Heinz Deeg,Burkhard Trusenther is invertible, and what regularity can we hope for in the inverse map? In fact it is very rare to be able to prove that the map is globally invertible, and we have to restrict ourselves to a ’local’ statement.

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