A Geometrical Study of the Elementary Catastrophes

A. E. R. Woodcock, T. Poston (auth.)9780387066813, 0-387-06681-0

Table of contents :
The geometry of the elementary catastrophes (1). the cuspoids….Pages 1-63
The geometry of the elementary catastrophes: (2). The hyperbolic and elliptic umbilics….Pages 64-90
The geometry of the elementary catastrophes: (3). The Parabolic Umbilic….Pages 91-131
Stereographic reconstructions of the behaviour space of the cuspoids catastrophes….Pages 132-148
Stereographic reconstructions of the catastrophe manifolds of the cuspoids: (2) the swallowtall….Pages 149-165
Stereographic reconstructions of the catastrophe manifolds of the cuspoids: (3) the butterfly….Pages 166-192
Stereographic reconstuctions of the catastrophe manifolds of the cuspoids: (4) the wigwam….Pages 193-211
Stereographic reconstructions of the catastrophe manifolds of the cuspoids: (5) The star….Pages 212-231
The geometrical properties of the Reduced Double Cusp….Pages 232-254