Woodcock, A.E.R.
A Geometrical Study of the Elementary Catastrophes (Lecture Notes in Mathematics)
- ISBN 13:
- 9783540066811
- author:
- Woodcock, A.E.R.
- format:
- Paperback
- publisher:
- Springer-Verlag Berlin and Heidelberg GmbH & Co. K
- language:
- English
- Publication Year:
- 1989
- Pages:
- 260
- Dimensions:
- 23.4 x 15.6 x 1.5 centimetres (0
- Genre:
- Science, Mathematics, Mathematical Analysis,
- Condition:
- New
- Availability:
- Item usually sent within 5 working days
Description
A Geometrical Study of the Elementary Catastrophes (Lecture Notes in Mathematics, 373) by Woodcock, A.E.R.;Poston, T. This book presents a comprehensive study of the elementary catastrophes, exploring their geometric properties and behavior. The author examines five distinct types of cuspoids catastrophes, including the swallowtail, butterfly, wigwam, star, and reduced double cusp, providing detailed descriptions and stereographic reconstructions of their catastrophe manifolds. The book also delves into the geometry of umbilics, including hyperbolic and elliptic cases, and presents a thorough analysis of the Parabolic Umbilic. By exploring these fundamental concepts in catastrophe theory, this volume provides a solid foundation for understanding the subject.