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Springer Undergraduate Mathematics Series

Measure and Integration

Authors: Shirali, Satish, Vasudeva, Harkrishan Lal

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  • 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
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  • ISBN 978-3-030-18747-7
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About this Textbook

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.

About the authors

Satish Shirali's research interest are in Banach *algebras, elliptic boundary value problems, fuzzy measures, and Harkrishan Vasudeva's interests are in functional analysis. This is their fourth joint textbook, having previous published An Introduction to Mathematical Analysis (2014), Multivariable Analysis (2011) and Metric Spaces (2006). Shirali is also the author of the book A Concise Introduction to Measure Theory (2018), and Vasudeva is the author of Elements of Hilbert Spaces and Operator Theory (2017) and co-author of An Introduction to Complex Analysis (2005).

Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $34.99
price for USA
  • ISBN 978-3-030-18747-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $44.99
price for USA
  • ISBN 978-3-030-18746-0
  • Free shipping for individuals worldwide
  • Immediate ebook access, if available*, with your print order
  • Usually dispatched within 3 to 5 business days.

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Bibliographic Information

Bibliographic Information
Book Title
Measure and Integration
Authors
Series Title
Springer Undergraduate Mathematics Series
Copyright
2019
Publisher
Springer International Publishing
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-030-18747-7
DOI
10.1007/978-3-030-18747-7
Softcover ISBN
978-3-030-18746-0
Series ISSN
1615-2085
Edition Number
1
Number of Pages
XII, 598
Topics

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