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Dynamical Systems
Luis Barreira, Claudia Valls (Broschiert, Englisch)
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Beschreibung
The theory of dynamical systems is a broad and active research subject with connections to most parts of mathematics. Dynamical Systems: An Introduction undertakes the difficult task to provide a self-contained and compact introduction. Topics covered include topological, low-dimensional, hyperbolic and symbolic dynamics, as well as a brief introduction to ergodic theory. In particular, the… authors consider topological recurrence, topological entropy, homeomorphisms and diffeomorphisms of the circle, Sharkovski's ordering, the Poincaré-Bendixson theory, and the construction of stable manifolds, as well as an introduction to geodesic flows and the study of hyperbolicity (the latter is often absent in a first introduction). Moreover, the authors introduce the basics of symbolic dynamics, the construction of symbolic codings, invariant measures, Poincaré's recurrence theorem and Birkhoff's ergodic theorem. The exposition is mathematically rigorous, concise and direct: all statements (except for some results from other areas) are proven. At the same time, the text illustrates the theory with many examples and 140 exercises of variable levels of difficulty. The only prerequisites are a background in linear algebra, analysis and elementary topology. This is a textbook primarily designed for a one-semester or two-semesters course at the advanced undergraduate or beginning graduate levels. It can also be used for self-study and as a starting point for more advanced topics. 74,89 €
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Technische Daten
Erscheinungsdatum
01.12.2012
Sprache
Englisch
EAN
9781447148340
Herausgeber
Springer London
Serien- oder Bandtitel
Universitext
Sonderedition
Nein
Autor
Luis Barreira, Claudia Valls
Seitenanzahl
209
Einbandart
Broschiert
Buch Untertitel
An Introduction
Schlagwörter
Ergodic Theory, Hyperbolic Dynamics, Low-Dimensional Dynamics, Symbolic Dynamics, Topological Dynamics, ordinary differential equations
Thema-Inhalt
GPFC - Kybernetik und Systemtheorie
PBK - Mathematische Analysis, allgemein
PBKJ - Differentialrechnung und -gleichungen
PBML - Nichteuklidische Geometrie
Höhe
235 mm
Breite
15.5 cm
Transparenz & Sicherheit
Hersteller: Springer London, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com, Springer Nature Customer Service Center GmbH
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