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Catastrophe Theory: Second Edition de Domencio Castrigiano

Catastrophe Theory: Second Edition

Autor Domencio Castrigiano, Sandra Hayes
en Limba Engleză Hardback – 28 aug 2019
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
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Specificații

ISBN-13: 9780367314866
ISBN-10: 036731486X
Pagini: 284
Dimensiuni: 152 x 229 x 23 mm
Greutate: 0.52 kg
Ediția:2nd edition
Editura: CRC Press
Colecția CRC Press
Locul publicării:Boca Raton, United States

Cuprins

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

Notă biografică

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.

Descriere

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.