A geometrical study of the elementary catastrophes

Bibliographic Information

A geometrical study of the elementary catastrophes

A.E.R. Woodcock, T. Poston

(Lecture notes in mathematics, 373)

Springer-Verlag, 1974

  • : Germany
  • : U.S.

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Includes bibliographical references

Description and Table of Contents

Table of Contents

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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