Authors:
Provides a self-contained introduction to abstract measure theory and integration
Includes full solutions to the exercises
Discusses fuzzy measures and unconditional sums
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Table of contents (8 chapters)
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Front Matter
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Back Matter
About this book
The author takes an approach to integration based on the notion of distribution. This approach relies on deeper properties of the Riemann integral which may not be covered in standard undergraduate courses. It has certain advantages, notably simplifying the extension to "fuzzy" measures, which is one of the many topics covered in the book.
This book will be accessible to undergraduate students who have completed a first course in the foundations of analysis. Containing numerous examples as well as fully solved exercises, it is exceptionally well suited for self-study or as a supplement to lecture courses.
Authors and Affiliations
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Formerly of Panjab University, Chandigarh, India
Satish Shirali
About the author
Bibliographic Information
Book Title: A Concise Introduction to Measure Theory
Authors: Satish Shirali
DOI: https://doi.org/10.1007/978-3-030-03241-8
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2018
Softcover ISBN: 978-3-030-03240-1Published: 15 March 2019
eBook ISBN: 978-3-030-03241-8Published: 27 February 2019
Edition Number: 1
Number of Pages: X, 271
Number of Illustrations: 16 b/w illustrations, 1 illustrations in colour
Topics: Measure and Integration, Calculus, Real Functions