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Cover: 9780387946771 | Chaos | An Introduction to Dynamical Systems | Alligood (u. a.) | Buch
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Chaos
An Introduction to Dynamical Systems
Taschenbuch von Kathleen T. Alligood (u. a.)
Sprache: Englisch

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Beschreibung
Chaos: An Introduction to Dynamical Systems, was developed and class-tested by a distinguished team of authors at two universities through their teaching of courses based on the material. Intended for courses in nonlinear dynamics offered either in Mathematics or Physics, the text requires only calculus, differential equations, and linear algebra as prerequisites. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits, short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed to be used with any software package. And each chapter ends with a Challenge, which provides students a tour through an advanced topic in the form of an extended exercise.
Chaos: An Introduction to Dynamical Systems, was developed and class-tested by a distinguished team of authors at two universities through their teaching of courses based on the material. Intended for courses in nonlinear dynamics offered either in Mathematics or Physics, the text requires only calculus, differential equations, and linear algebra as prerequisites. Along with discussions of the major topics, including discrete dynamical systems, chaos, fractals, nonlinear differential equations and bifurcations, the text also includes Lab Visits, short reports that illustrate relevant concepts from the physical, chemical and biological sciences. There are Computer Experiments throughout the text that present opportunities to explore dynamics through computer simulations, designed to be used with any software package. And each chapter ends with a Challenge, which provides students a tour through an advanced topic in the form of an extended exercise.
Über den Autor
Zusammenfassung
Spanning the wide reach of nonlinear dynamics throughout mathematics and the natural and physical sciences, Chaos: An Introduction to Dynamical Systems develops and explains the most intriguing and fundamental elements of the topic, and examines their broad implications. Among the major topics included are discrete dynamical systems, chaos, fractals, nonlinear differential equations, and bifurcations.
Inhaltsverzeichnis
One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.
Details
Erscheinungsjahr: 1996
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 632
Reihe: Textbooks in Mathematical Sciences
Inhalt: xvii
603 S.
ISBN-13: 9780387946771
ISBN-10: 0387946772
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Alligood, Kathleen T.
Yorke, James A.
Sauer, Tim D.
Auflage: 1996
Hersteller: Springer US
Springer New York
Textbooks in Mathematical Sciences
Maße: 254 x 178 x 34 mm
Von/Mit: Kathleen T. Alligood (u. a.)
Erscheinungsdatum: 07.11.1996
Gewicht: 1,17 kg
preigu-id: 105447572
Über den Autor
Zusammenfassung
Spanning the wide reach of nonlinear dynamics throughout mathematics and the natural and physical sciences, Chaos: An Introduction to Dynamical Systems develops and explains the most intriguing and fundamental elements of the topic, and examines their broad implications. Among the major topics included are discrete dynamical systems, chaos, fractals, nonlinear differential equations, and bifurcations.
Inhaltsverzeichnis
One-Dimensional Maps.- Two-Dimensional Maps.- Chaos.- Fractals.- Chaos in Two-Dimensional Maps.- Chaotic Attractors.- Differential Equations.- Periodic Orbits and Limit Sets.- Chaos in Differential Equations.- Stable Manifolds and Crises.- Bifurcations.- Cascades.- State Reconstruction from Data.
Details
Erscheinungsjahr: 1996
Fachbereich: Wahrscheinlichkeitstheorie
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Seiten: 632
Reihe: Textbooks in Mathematical Sciences
Inhalt: xvii
603 S.
ISBN-13: 9780387946771
ISBN-10: 0387946772
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Alligood, Kathleen T.
Yorke, James A.
Sauer, Tim D.
Auflage: 1996
Hersteller: Springer US
Springer New York
Textbooks in Mathematical Sciences
Maße: 254 x 178 x 34 mm
Von/Mit: Kathleen T. Alligood (u. a.)
Erscheinungsdatum: 07.11.1996
Gewicht: 1,17 kg
preigu-id: 105447572
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