Domencio Castrigiano, Sandra Hayes

Catastrophe Theory

Second Edition

• Broschiertes Buch

Produktbeschreibung

This edition contains complete proofs of Thomas classification theorems as well as the genericity and stability results assuming only elementary calculus and linear algebra. Catastrophe Theory is an intriguing beautiful theory whose striking feature is its universality. The text is self-contained and progressing in its approach. It is also unique in its treatment of genericity and stability.

Produktdetails

• Verlag: Taylor & Francis
• 2nd edition
• Seitenzahl: 284
• Erscheinungstermin: 5. September 2003
• Englisch
• Abmessung: 229mm x 152mm x 16mm
• Gewicht: 417g
• ISBN-13: 9780813341255
• ISBN-10: 0813341256
• Artikelnr.: 22289880

Autorenporträt

DOMENICO P. L. CASTRIGIANO is Professor of Mathematics at the Technical University of Munich, where his research interests focus on problems of mathematical physics, and include real analysis and measure theory on topological spaces., SANDRA A. HAYES is Professor of Mathematics at the Technical University of Munich. Her research interests include higher-dimensional complex dynamical systems and chaotic time series analysis.

Inhaltsangabe

Foreword
Preface to the First Edition
Preface to the Second Edition
1 Nondegenerate Critical Points: The Morse Lemma
2 The Fold and the Cusp
3 Degenerate Critical Points: The Reduction Lemma
4 Determinacy
5 Codimension
6 The Classification Theorem for Germs of Codimension at Most 4
7 Unfoldings
8 Transversality
9 The Malgrange-Mather Preparation Theorem
10 The Fundamental Theorem on Universal Unfoldings
11 Genericity
12 Stability
Appendix
References
Notation Index
Subject Index