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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Обложка Alfred Göpfert & Thomas Riedrich: Angewandte Funktionalanalysis (PDF)

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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Содержание

— 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

Об авторе

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

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язык немецкий ● Формат PDF ● страницы 390 ● ISBN 9783834895721 ● издатель Vieweg & Teubner ● город Wiesbaden ● Страна DE ● опубликованный 2009 ● Загружаемые 24 месяцы ● валюта EUR ● Код товара 2209401 ● Защита от копирования Adobe DRM

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