A Concise Introduction To Measure Theory - Shirali Satish | Libro Springer 03/2019 - HOEPLI.it


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shirali satish - a concise introduction to measure theory

A Concise Introduction to Measure Theory




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Dettagli

Genere:Libro
Lingua: Inglese
Editore:

Springer

Pubblicazione: 03/2019
Edizione: 1st ed. 2018





Sommario

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.




Trama

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.




Autore

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.








Altre Informazioni

ISBN:

9783030032401

Condizione: Nuovo
Dimensioni: 235 x 155 mm Ø 438 gr
Formato: Brossura
Illustration Notes:16 Illustrations, black and white
Pagine Arabe: 271
Pagine Romane: x






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