Dekorationsartikel gehören nicht zum Leistungsumfang.
Sprache:
Englisch
62,45 €*
Versandkostenfrei per Post / DHL
Lieferzeit 4-7 Werktage
Kategorien:
Beschreibung
This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.
This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a wide variety of different mathematical techniques into a more unified framework. The book is highly illustrated with many examples and exercises and an extensive bibliography. The target audience of this book are senior undergraduates, graduate students as well as researchers interested in using the multiple time scale dynamics theory in nonlinear science, either from a theoretical or a mathematical modeling perspective.
Über den Autor
Christian Kuehn is a Postdoctoral Researcher at Vienna University of Technology, Institute for Analysis and Scientific Computing in Vienna, Austria. He received his PhD in Applied Mathematics from Cornell University in 2010. His research areas include: applied mathematics, differential equations, dynamical systems, numerical mathematics, and stochastics.
Zusammenfassung
Interdisciplinary approach to multiple time scale dynamics
Includes many exercises and direct transition to research-level questions
Links different mathematical areas and different viewpoints
Highly illustrated
Inhaltsverzeichnis
Introduction.- General Fenichel Theory.- Geometric Singular Perturbation Theory.- Normal Forms.- Direct Asymptotic Methods.- Tracking Invariant Manifolds.- The Blow-Up Method.- Singularities and Canards.- Advanced Asymptotic Methods.- Numerical Methods.- Computing Manifolds.- Scaling and Delay.- Oscillations.- Chaos in Fast-Slow Systems.- Stochastic Systems.- Topological Methods.- Spatial Dynamics.- Infinite Dimensions.- Other Topics.- Applications.
Details
Erscheinungsjahr: | 2016 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Reihe: | Applied Mathematical Sciences |
Inhalt: |
xiii
814 S. 148 s/w Illustr. 48 farbige Illustr. 814 p. 196 illus. 48 illus. in color. |
ISBN-13: | 9783319344171 |
ISBN-10: | 331934417X |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Kuehn, Christian |
Auflage: | Softcover reprint of the original 1st ed. 2015 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG Applied Mathematical Sciences |
Verantwortliche Person für die EU: | Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de |
Maße: | 235 x 155 x 42 mm |
Von/Mit: | Christian Kuehn |
Erscheinungsdatum: | 05.10.2016 |
Gewicht: | 1,38 kg |
Über den Autor
Christian Kuehn is a Postdoctoral Researcher at Vienna University of Technology, Institute for Analysis and Scientific Computing in Vienna, Austria. He received his PhD in Applied Mathematics from Cornell University in 2010. His research areas include: applied mathematics, differential equations, dynamical systems, numerical mathematics, and stochastics.
Zusammenfassung
Interdisciplinary approach to multiple time scale dynamics
Includes many exercises and direct transition to research-level questions
Links different mathematical areas and different viewpoints
Highly illustrated
Inhaltsverzeichnis
Introduction.- General Fenichel Theory.- Geometric Singular Perturbation Theory.- Normal Forms.- Direct Asymptotic Methods.- Tracking Invariant Manifolds.- The Blow-Up Method.- Singularities and Canards.- Advanced Asymptotic Methods.- Numerical Methods.- Computing Manifolds.- Scaling and Delay.- Oscillations.- Chaos in Fast-Slow Systems.- Stochastic Systems.- Topological Methods.- Spatial Dynamics.- Infinite Dimensions.- Other Topics.- Applications.
Details
Erscheinungsjahr: | 2016 |
---|---|
Fachbereich: | Analysis |
Genre: | Mathematik, Medizin, Naturwissenschaften, Technik |
Rubrik: | Naturwissenschaften & Technik |
Medium: | Taschenbuch |
Reihe: | Applied Mathematical Sciences |
Inhalt: |
xiii
814 S. 148 s/w Illustr. 48 farbige Illustr. 814 p. 196 illus. 48 illus. in color. |
ISBN-13: | 9783319344171 |
ISBN-10: | 331934417X |
Sprache: | Englisch |
Ausstattung / Beilage: | Paperback |
Einband: | Kartoniert / Broschiert |
Autor: | Kuehn, Christian |
Auflage: | Softcover reprint of the original 1st ed. 2015 |
Hersteller: |
Springer International Publishing
Springer International Publishing AG Applied Mathematical Sciences |
Verantwortliche Person für die EU: | Books on Demand GmbH, In de Tarpen 42, D-22848 Norderstedt, info@bod.de |
Maße: | 235 x 155 x 42 mm |
Von/Mit: | Christian Kuehn |
Erscheinungsdatum: | 05.10.2016 |
Gewicht: | 1,38 kg |
Sicherheitshinweis