A Concise Introduction to Measure Theory Taschenbuch von Satish Shirali Online-Verkauf

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. Über den Autor 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. Zusammenfassung

Provides a self-contained introduction to abstract measure theory and integration

Includes full solutions to the exercises

Discusses fuzzy measures and unconditional sums