
A Concise Introduction to Measure Theory
Satish Shirali(Author)
Springer (Publisher)
Published on 4. March 2019
Book
Paperback/Softback
X, 271 pages
978-3-030-03240-1 (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.
More details
Product info
Book
Edition
1st ed. 2018
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
College/higher education
Illustrations
16 s/w Abbildungen, 1 farbige Abbildung
15 schwarz-weiße und 1 farbige Abbildungen, Bibliographie
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 16 mm
Weight
435 gr
ISBN-13
978-3-030-03240-1 (9783030032401)
DOI
10.1007/978-3-030-03241-8
Schweitzer Classification
Other editions
Additional editions

Satish Shirali
A Concise Introduction to Measure Theory
E-Book
02/2019
Springer
€58.84
Available for download
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.