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Jurgen Elstrodt
Maß- und Integrationstheorie

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Capa do Jurgen Elstrodt: Maß- und Integrationstheorie (PDF)

Dieses Lehrbuch vermittelt dem Leser ein solides Basiswissen, wie es für weite Bereiche der Mathematik unerläßlich ist, insbesondere für die reelle Analysis, Funktionalanalysis, Wahrscheinlichkeitstheorie und mathematische Statistik. Thematische Schwerpunkte sind Produktmaße, Fourier-Transformation, Transformationsformel, Konvergenzbegriffe, absolute Stetigkeit und Maße auf topologischen Räumen. Höhepunkt ist die Herleitung des Rieszschen Darstellungssatzes mit Hilfe eines Fortsetzungsresultats von Kisynski und der Beweis der Existenz und Eindeutigkeit des Haarschen Maßes. Enthalten ist ebenfalls ein Abschnitt über Konvergenz von Maßen. Der Text wird aufgelockert durch zahlreiche mathematikhistorische Ausflüge und Kurzporträts von Mathematikern, die zum Thema des Buches wichtige Beiträge geliefert haben. Eine Vielzahl von Übungsaufgaben vertieft den Stoff.

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Língua Alemão ● Formato PDF ● ISBN 9783540267034 ● Editora Springer Berlin Heidelberg ● Publicado 2006 ● Carregável 3 vezes ● Moeda EUR ● ID 6315956 ● Proteção contra cópia Adobe DRM

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