Differentiable germs and catastrophes /
Th. Br�ocker & L. Lander ; [translated by L. Lander].
- Cambridge [Eng.] ; New York : Cambridge University Press, c1975 [reprinted 1976].
- vi, 179 p. : ill. ; 23 cm.
- London Mathematical Society lecture note series ; 17 .
- 17. London Mathematical Society lecture note series ; .
"A small number of copies of the German text were printed ... under the title: Der Regensburger Trichter, Band 3, Differenzierbare Abbildungen." Includes index.
Bibliography: p. 172-175.
Machine derived contents note: 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.