Measure and Integration

• Κύριοι συγγραφείς: Shirali, Satish (Συγγραφέας, http://id.loc.gov/vocabulary/relators/aut), Vasudeva, Harkrishan Lal (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, 2019.
• Έκδοση: 1st ed. 2019.
• Σειρά: Springer Undergraduate Mathematics Series,
• Θέματα: Measure theory.; Functions of real variables.; Fourier analysis.; Functional analysis.; Measure and Integration.; Real Functions.; Fourier Analysis.; Functional Analysis.

This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis. Proceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgu...

Πίνακας περιεχομένων:

• 1 Preliminaries
• 2 Measure in Euclidean Space
• 3 Measure Spaces and Integration
• 4 Fourier Series
• 5 Differentiation
• 6 Lebesgue Spaces and Modes of Convergence
• 7 Product Measure and Completion
• 8 Hints
• References
• Index.