EAN: 9783030187460

Bilder-Quelle: discount24.de - Sport-Freizeit

This textbook provides a thorough introduction to measure and integration theory fundamental topics of advanced mathematical analysis. Proceeding at a leisurely student-friendly pace the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgue integration. Further chapters cover Fourier series differentiation modes of convergence and product measures. Noteworthy topics discussed in the text include Lp spaces the Radon-Nikody m Theorem signed measures the Riesz Representation Theorem and the Tonelli and Fubini Theorems. This textbook based on extensive teaching experience is written for senior undergraduate and beginning graduate students in mathematics. With each topic carefully motivated and hints to more than 300 exercises it is the ideal companion for self-study or use alongside lecture courses.

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29.03.2025 um 08:23 Uhr

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