Overview
- Supplements the abstract theory with a great amount of motivation, explanations and concrete examples
- Includes background on metric spaces and mathematical analysis
- Over 300 exercises with hints
Part of the book series: Springer Undergraduate Mathematics Series (SUMS)
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Table of contents (8 chapters)
Keywords
About this book
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.
Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Measure and Integration
Authors: Satish Shirali, Harkrishan Lal Vasudeva
Series Title: Springer Undergraduate Mathematics Series
DOI: https://doi.org/10.1007/978-3-030-18747-7
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2019
Softcover ISBN: 978-3-030-18746-0Published: 23 September 2019
eBook ISBN: 978-3-030-18747-7Published: 17 September 2019
Series ISSN: 1615-2085
Series E-ISSN: 2197-4144
Edition Number: 1
Number of Pages: XII, 598
Topics: Measure and Integration, Real Functions, Fourier Analysis, Functional Analysis