A Concise Introduction to Measure Theory
Published on 27. February 2019
X, 271 pages
978-3-030-03241-8 (ISBN)
Description
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.
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.
More details
Series
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Product notice
Reflowable
Illustrations
X, 271 p. 17 illus., 1 illus. in color.
File size
3,64 MB
ISBN-13
978-3-030-03241-8 (9783030032418)
DOI
10.1007/978-3-030-03241-8
Schweitzer Classification
Other editions
Additional editions
Satish Shirali
A Concise Introduction to Measure Theory
Book
03/2019
Springer
€58.84
Shipment within 7-9 days
Person
Satish Shirali
's research interests have been in Banach *-algebras, elliptic boundary value problems, and fuzzy measures. He is the co-author of three books:
Introduction to Mathematical Analysis
(2014),
Multivariable Analysis
(2011) and
Metric Spaces
(2006), the latter two published by Springer.
Content
Preface.- 1. Preliminaries.- 2. Measure Space and Integral.- 3. Properties of the Integral.- 4. Construction of a Measure. 5. The Counting Measure.- 6. Product Measures.- 7. Differentiation.- 8. The Cantor Set and Function.- Solutions.- References.- Index.
