A Geometrical Study of the Elementary Catastrophes (Lecture Notes in Mathematics, 373)
Description:
The geometry of the elementary catastrophes (1). the cuspoids.- The geometry of the elementary catastrophes: (2). The hyperbolic and elliptic umbilics.- The geometry of the elementary catastrophes: (3). The Parabolic Umbilic.- Stereographic reconstructions of the behaviour space of the cuspoids catastrophes.- Stereographic reconstructions of the catastrophe manifolds of the cuspoids: (2) the swallowtall.- Stereographic reconstructions of the catastrophe manifolds of the cuspoids: (3) the butterfly.- Stereographic reconstuctions of the catastrophe manifolds of the cuspoids: (4) the wigwam.- Stereographic reconstructions of the catastrophe manifolds of the cuspoids: (5) The star.- The geometrical properties of the Reduced Double Cusp.
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