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A concise introduction to measure theory / by Satish Shirali

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: SpringerLink Bücher | Springer eBook CollectionPublisher: Cham : Springer, [2018]Copyright date: © 2018Description: 1 Online-Ressource (x, 271 Seiten) : 17 IllustrationenISBN:
  • 9783030032418
Subject(s): Additional physical formats: 9783030032401 | 9783030032425 | Erscheint auch als: A concise introduction to measure theory. Druck-Ausgabe Cham : Springer, 2018. x, 271 SeitenDDC classification:
  • 515.42
MSC: MSC: *28-01 | 28A33 | 28A50 | 28A35 | 26-01 | 26A42LOC classification:
  • QA312-312.5
DOI: DOI: 10.1007/978-3-030-03241-8Online resources: Summary: 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 coursesSummary: 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 -- IndexPPN: PPN: 1067371788Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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Reproduktion. (Springer eBook Collection. Mathematics and Statistics)

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