Bibliograph

Measure and Integration, by Satish Shirali, Harkrishan Lal Vasudeva

Type

Label

Measure and Integration, by Satish Shirali, Harkrishan Lal Vasudeva

Language

eng

resource.imageBitDepth

Literary Form

non fiction

Main title

Measure and Integration

Medium

electronic resource

Nature of contents

dictionaries

Oclc number

1121075933

Responsibility statement

by Satish Shirali, Harkrishan Lal Vasudeva

Series statement

Springer Undergraduate Mathematics Series,, 1615-2085Springer eBooks.

Summary

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–Nikodým 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.--, Provided by publisher

Table Of Contents

1 Preliminaries -- 2 Measure in Euclidean Space -- 3 Measure Spaces and Integration -- 4 Fourier Series -- 5 Differentiation -- 6 Lebesgue Spaces and Modes of Convergence -- 7 Product Measure and Completion -- 8 Hints -- References -- Index

Contributor