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Maß Und Integral: Lebesgue-Integration Für Analysis Und Stochastik
Paperback
Series: de Gruyter Studium
General MathematicsProbability & Statistics
Publisher Price: $47.99
ISBN13: 9783111342771
Publisher: de Gruyter
Published: Nov 4 2024
Pages: 232
Weight: 0.84
Height: 0.49 Width: 6.69 Depth: 9.61
Language: German
Allgemeine Ma e 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 - Ma e, Integrale, Konvergenzsätze, Parameterintegrale, Satz von Fubini -, die durch weiterführende Themen - allgemeiner Transformationssatz, Satz von Radon-Nikodým, Fouriertransformation von Ma en, topologische Ma theorie - 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
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