Differentiable Germs and Catastrophes

Klappentext 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. Zusammenfassung 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. Inhaltsverzeichnis 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.

Dettagli sul prodotto

• Autori: Theodor Br¿cker, Brocker, Th Brocker, Theodor Brocker, Theodor Broecker
• Con la collaborazione di: L. Lander (Traduzione)
• Editore: Cambridge University Press ELT
• Lingue: Inglese
• Formato: Tascabile
• Pubblicazione: 17.07.1975
• EAN: 9780521206815
• ISBN: 978-0-521-20681-5
• Pagine: 188
• Serie: London Mathematical Society Le
• Categoria: Scienze naturali, medicina, informatica, tecnica > Matematica > Geometria