Measure, Integral, Derivative A Course on Lebesgue's Theory /

• Κύριος συγγραφέας: Ovchinnikov, Sergei (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Measure theory.; Functions of real variables.; Measure and Integration.; Real Functions.; Analysis.

This classroom-tested text is intended for a one-semester course in Lebesgue’s theory.  With over 180 exercises, the text takes an elementary approach, making it easily accessible to both upper-undergraduate- and lower-graduate-level students.  The three main topics presented are measure, integratio...

Πίνακας περιεχομένων:

• 1 Preliminaries
• 2 Lebesgue Measure
• 3  Lebesgue Integration
• 4 Differentiation and Integration
• A Measure and Integral over Unbounded Sets
• Index.