Maß und Integral

René L. Schilling

René L. Schilling
Maß und Integral [PDF ebook]
Eine Einführung für Bachelor-Studenten

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Capa do René L. Schilling: Maß und Integral (PDF)

Allgemeine Maße und das Lebesgue-Integral gehören zu den unverzichtbaren Hilfsmitteln der modernen Analysis, der Funktionalanalysis und der Stochastik. Das vorliegende Lehrbuch bietet eine Einführung in die wesentlichen Aspekte der Theorie – Maße, Integrale, Konvergenzsätze, Parameterintegrale, Satz von Fubini –, die durch weiterführende Themen – allgemeiner Transformationssatz, Satz von Radon-Nikodým, Fouriertransformation von Maßen, topologische Maßtheorie – abgerundet wird. Mehr als 150 Übungsaufgaben (mit vollständigen Lösungen im Internet) vertiefen und erweitern den Stoff.

Die kompakte Darstellung bietet sich als Fortsetzung der Grundvorlesungen ‘Analysis’ oder als Einstieg in die ‘Stochastik’ an. Da nur Grundkenntnisse in Analysis und linearer Algebra vorausgesetzt werden, ist der Text auch für Studierende der Physik und Ingenieurswissenschaften sowie zum Selbststudium geeignet.

In gleicher Ausstattung erscheinen die Folgebände ‘Wahrscheinlichkeit’ und ‘Martingale & Prozesse’.

Lösungen zu den im Buch befindlichen Übungsaufgaben unter: http://www.motapa.de/mint/index.shtml

€29.95

Sobre o autor

René Schilling, Technische Universität Dresden.

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Língua Alemão ● Formato PDF ● Páginas 182 ● ISBN 9783110350647 ● Tamanho do arquivo 1.2 MB ● Editora De Gruyter ● Cidade Berlin/Boston ● Publicado 2015 ● Edição 1 ● Carregável 24 meses ● Moeda EUR ● ID 6294719 ● Proteção contra cópia Adobe DRM

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