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Measure and Integration / by S. Kesavan

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Texts and Readings in Mathematics | Springer eBook Collection | SpringerLink BücherPublisher: Singapore : Springer, [2019]Copyright date: © 2019Description: 1 Online-Ressource (XX, 232 Seiten) : 2 IllustrationenISBN:
  • 9789811366789
Subject(s): Genre/Form: Additional physical formats: 9789811366796 | Erscheint auch als: 9789811366796 Druck-AusgabeDDC classification:
  • 515.42
LOC classification:
  • QA312-312.5
DOI: DOI: 10.1007/978-981-13-6678-9Online resources: Summary: This book deals with topics on the theory of measure and integration. It starts with discussion on the Riemann integral and points out certain shortcomings, which motivate the theory of measure and the Lebesgue integral. Most of the material in this book can be covered in a one-semester introductory course. An awareness of basic real analysis and elementary topological notions, with special emphasis on the topology of the n-dimensional Euclidean space, is the pre-requisite for this book. Each chapter is provided with a variety of exercises for the students. The book is targeted to students of graduate- and advanced-graduate-level courses on the theory of measure and integrationSummary: Chapter 1. Measure -- Chapter 2. The Lebesgue measure -- Chapter 3. Measurable functions -- Chapter 4. Convergence -- Chapter 5. Integration -- Chapter 6. Differentiation -- Chapter 7. Change of variable -- Chapter 8. Product spaces -- Chapter 9. Signed measures -- Chapter 10. Lp spacesPPN: PPN: 106736434XPackage identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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