A Concise Introduction to Measure Theory

A Concise Introduction to Measure Theory

Author
Satish Shirali
Publisher
Springer International Publishing
Language
English
Edition
1st ed.
Year
2018
Page
X, 271
ISBN
978-3-030-03240-1,978-3-030-03241-8
File Type
pdf
File Size
3.5 MiB

This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration.
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.

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