Dynamische Systeme: Ergodentheorie Und Topologische Dynamik (Mathematik Kompakt) (German Edition),Used

Dynamische Systeme: Ergodentheorie Und Topologische Dynamik (Mathematik Kompakt) (German Edition),Used

SKU: SONG3034806337
Categories : Science & Math
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Categories : Science & Math

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Dieses Buch bietet eine erste Einfhrung in die mathematische Theorie der dynamischen Systeme, die fr Studierende des letzten Studienjahres des Bachelor Studiums und fr das Master Studium geeignet ist. Aufbauend auf den Grundbegriffen der Topologischen Dynamik und der Ergodentheorie in den ersten beiden Kapiteln behandelt das dritte Kapitel den fr die Ergodentheorie zentralen Begriff der Entropie, der seinen Ursprung in der statistischen Physik und der Informationstheorie hat, und der die Komplexitt eines matheoretischen dynamischen Systems quantifiziert. Das vierte Kapitel ist ebenfalls der Entropie gewidmet, diesmal aber im Rahmen der topologischen Dynamik, bei der Entropie einen quantitativen Ausdruck fr die Verformung eines kompakten metrischen Raumes durch eine stetige Transformation darstellt. Das fnfte und letzte Kapitel gibt einen kleinen Einblick in aktuelle Entwicklungen der Theorie der dynamischen Systeme mit ihren mehrparametrischen Verallgemeinerungen des klassischen Konzepts der Zeitentwicklung und den daraus entspringenden und zum Teil berraschenden Querverbindungen zu anderen mathematischen Disziplinen.Das in Vorlesungen erprobte Material dieses Buches kann durch eine den Interessen der Studierenden angepasste Themenauswahl wahlweise fr eine ein oder zweisemestrige Vorlesung eingesetzt werden.

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