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.
