Measure and Integration

• Κύριος συγγραφέας: Kesavan, S. (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Singapore : Springer Singapore : Imprint: Springer, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Texts and Readings in Mathematics,
• Θέματα: Measure theory.; Functional analysis.; Measure and Integration.; Functional Analysis.

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...

Πίνακας περιεχομένων:

• 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 spaces.