A Concise Introduction to Measure Theory

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Sprache: Englisch

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Beschreibung

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.

This undergraduate textbook offers a self-contained and concise introduction to measure theory and integration.

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

Inhaltsverzeichnis

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.

Details

Erscheinungsjahr:	2019
Fachbereich:	Analysis
Genre:	Mathematik , Medizin , Naturwissenschaften , Technik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
Inhalt:	x 271 S. 16 s/w Illustr. 1 farbige Illustr. 271 p. 17 illus. 1 illus. in color.
ISBN-13:	9783030032401
ISBN-10:	303003240X
Sprache:	Englisch
Herstellernummer:	978-3-030-03240-1
Einband:	Kartoniert / Broschiert
Autor:	Shirali, Satish
Auflage:	1st edition 2018
Hersteller:	Springer Nature Switzerland Springer International Publishing
Verantwortliche Person für die EU:	Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße:	235 x 155 x 16 mm
Von/Mit:	Satish Shirali
Erscheinungsdatum:	15.03.2019
Gewicht:	0,435 kg

Artikel-ID: 114575996