Differentiable Germs and Catastrophes - Brossura

Bröcker, Theodor

 
9780521206815: Differentiable Germs and Catastrophes

Sinossi

This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.

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Descrizione del libro

This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.

Contenuti

1. Foreword; 1. Germs with constant rank; 2. Regular values; 3. Construction of differentiable maps; 4. Germs and jets; 5. The division theorem; 6. The preparation theorem; 7. Symmetric germs; 8. Mappings of the plane into the plane; 9. Boardman-Thom singularities; 10. The quadratic differential; 11. Finitely determined germs; 12. Some elementary algebraic geometry; 13. Tougeron's theory; 14. The universal unfolding of a singularity; 15. The seven elementary catastrophes; 16. Proof of the main theorem on universal unfoldings; 17. Pictures of the seven elementary catastrophes; Further reading; Indices.

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