A Concise Introduction to Measure Theory

• Κύριος συγγραφέας: Shirali, Satish (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Cham : Springer International Publishing : Imprint: Springer, 2018.
• Έκδοση: 1st ed. 2018.
• Θέματα: Measure theory.; Calculus.; Functions of real variables.; Measure and Integration.; Real Functions.

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 unde...

Πίνακας περιεχομένων:

• 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.