Angewandte Funktionalanalysis

Alfred Göpfert & Thomas Riedrich

Alfred Göpfert & Thomas Riedrich
Angewandte Funktionalanalysis [PDF ebook]
Motivationen und Methoden für Mathematiker und Wirtschaftswissenschaftler

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In diesem Lehrbuch werden die für die Wirtschaftsmathematik, insbesondere für die Optimierungstheorie, Stochastik und Numerik, erforderlichen Grundlagen der Funktionalanalysis in einer anschaulichen Form mit Bezügen zu den entsprechenden Anwendungen in jedem Kapitel dargestellt. Dabei wird eine Untergliederung entsprechend der für die Wirtschaftsmathematik relevanten Hauptsätze der Funktionalanalysis, wie Baire’s Kategoriesatz, Approximations- und Projektionssatz, Hahn-Banach-Theorem, Fixpunktaussagen und KKM-Theorem und Variationsprinzipien, vorgenommen.

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– Anwendung der Funktionalanalysis
– Approximation
– Funktionale und Operatoren
– Banach-Steinhaus-Theorem
– Hahn-Banach-Theorem
– Fixpunktsätze und Durchschnittsprinzip
– Das Ekeland’sche Variationsprinzip
– Ein Maximumprinzip und dessen ökonomische Interpretation
– Fourier-Transformationen für Distributionen
– Halbordnungen, Vektoroptimierung
– Monotone Operatoren

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Prof. Dr. Alfred Göpfert, Universität Halle
Prof. Dr. Thomas Riedrich, TU Dresden
Prof. Dr. Chistiane Tammer, Universität Halle

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Bahasa Jerman ● Format PDF ● Halaman-halaman 390 ● ISBN 9783834895721 ● Penerbit Vieweg & Teubner ● Bandar raya Wiesbaden ● Negara DE ● Diterbitkan 2009 ● Muat turun 24 bulan ● Mata wang EUR ● ID 2209401 ● Salin perlindungan Adobe DRM

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