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A concise introduction to measure theory

Shirali, Satish.

A concise introduction to measure theory

Record Type:	Electronic resources : Monograph/item
Title/Author:	A concise introduction to measure theoryby Satish Shirali.
Author:	Shirali, Satish.
Published:	Cham :Springer International Publishing :2018.
Description:	x, 271 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Measure theory.
Online resource:	https://doi.org/10.1007/978-3-030-03241-8
ISBN:	9783030032418$q(electronic bk.)

A concise introduction to measure theory
Shirali, Satish.

A concise introduction to measure theory[electronic resource] /by Satish Shirali. - Cham :Springer International Publishing :2018. - x, 271 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783030032418$q(electronic bk.)

Standard No.: 10.1007/978-3-030-03241-8doiSubjects--Topical Terms:

182047
Measure theory.

LC Class. No.: QA312 / .S557 2018

Dewey Class. No.: 515.42

A concise introduction to measure theory
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505 0 $a 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.
520 $a 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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