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A Concise Introduction to Measure Theory
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A Concise Introduction to Measure Theory

A Concise Introduction to Measure Theory

Satish Shirali

271 pages, parution le 14/03/2019

Résumé

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 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.
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. 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.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Satish Shirali
Parution 14/03/2019
Nb. de pages 271
EAN13 9783030032401

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