Rene L. Schilling (Dresden Technische Universitat), Franziska Kuhn (Dresden Technische Universitat)

Counterexamples in Measure and Integration

• Broschiertes Buch

Produktbeschreibung

This is a perfect companion to any course on measure theory, integration, real and functional analysis, providing more than 300 examples and counterexamples to the otherwise often rather theoretical courses. By knowing 'what may go wrong' students will gain a better understanding of the standard course material.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 420
• Erscheinungstermin: 19. August 2021
• Englisch
• Abmessung: 245mm x 175mm x 27mm
• Gewicht: 742g
• ISBN-13: 9781009001625
• ISBN-10: 1009001620
• Artikelnr.: 61316852

Autorenporträt

René L. Schilling is Professor of Probability Theory at Technische Universität Dresden. His research focuses on stochastic analysis and the theory of stochastic processes.

Inhaltsangabe

Preface
User's guide
List of topics and phenomena
1. A panorama of Lebesgue integration
2. A refresher of topology and ordinal numbers
3. Riemann is not enough
4. Families of sets
5. Set functions and measures
6. Range and support of a measure
7. Measurable and non-measurable sets
8. Measurable maps and functions
9. Inner and outer measure
10. Integrable functions
11. Modes of convergence
12. Convergence theorems
13. Continuity and a.e. continuity
14. Integration and differentiation
15. Measurability on product spaces
16. Product measures
17. Radon-Nikodým and related results
18. Function spaces
19. Convergence of measures
References
Index.