Real Analysis for the Undergraduate With an Invitation to Functional Analysis /

• Κύριος συγγραφέας: Pons, Matthew A. (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2014.
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functional analysis.; Functions of real variables.; Analysis.; Real Functions.; Functional Analysis.

This undergraduate textbook introduces students to the basics of real analysis, provides an introduction to more advanced topics including measure theory and Lebesgue integration, and offers an invitation to functional analysis. While these advanced topics are not typically encountered until graduat...

Πίνακας περιεχομένων:

• The Real Numbers
• Sequences in R
• Numerical Series
• Continuity
• The Derivative
• Sequence and Series of Functions
• The Riemann Integral
• Lebesgue Measure on R
• Lebesgue Integration .