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Catastrophe Theory Domencio Castrigiano

Catastrophe Theory By Domencio Castrigiano

Catastrophe Theory by Domencio Castrigiano


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Summary

By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved to be fundamental to the understanding of qualitative dynamics. This fully revised second edition includes two new chapters treating genericity and stability of unfoldings.

Catastrophe Theory Summary

Catastrophe Theory: Second Edition by Domencio Castrigiano

Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician Rene' Thom as a part of the general theory of local singularities. Since then it has found applications across many areas, including biology, economics, and chemical kinetics. By investigating the phenomena of bifurcation and chaos, Catastrophe Theory proved t

About Domencio Castrigiano

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.

Table of Contents

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

Additional information

NPB9780367314866
9780367314866
036731486X
Catastrophe Theory: Second Edition by Domencio Castrigiano
New
Hardback
Taylor & Francis Ltd
2019-08-28
284
N/A
Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
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