A Geometrical Study of the Elementary Catastrophes

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Author(s): A. E. R. Woodcock, T. Poston (auth.)
Series: Lecture Notes in Mathematics 373
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 1974

Language: English
Pages: 260
Tags: Analysis

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