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.
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.Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
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.
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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