Domencio Castrigiano, Sandra Hayes

Catastrophe Theory (eBook, PDF)

Second Edition

• Format: PDF

Produktbeschreibung

Catastrophe Theory was introduced in the 1960s by the renowned Fields Medal mathematician René 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 to

---

Dieser Download kann aus rechtlichen Gründen nur mit Rechnungsadresse in A, B, BG, CY, CZ, D, DK, EW, E, FIN, F, GR, HR, H, IRL, I, LT, L, LR, M, NL, PL, P, R, S, SLO, SK ausgeliefert werden.

Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 284
• Erscheinungstermin: 3. Juni 2019
• Englisch
• ISBN-13: 9780429970351
• Artikelnr.: 56942115

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

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