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MEASURE AND INTEGRATION IBD

SPRINGER
09 / 2019
9783030187460
Inglés

Sinopsis

This textbook provides a thorough introduction toámeasure 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 includeáLp spaces, the Radon-NikodyIüm 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.

PVP
43,86