Real Analysis via Sequences and Series

• Κύριοι συγγραφείς: Little, Charles H.C (Συγγραφέας), Teo, Kee L. (Συγγραφέας), van Brunt, Bruce (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2015.
• Σειρά: Undergraduate Texts in Mathematics,
• Θέματα: Mathematics.; Functions of real variables.; Sequences (Mathematics).; Real Functions.; Sequences, Series, Summability.

This text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the forefront. The approach taken has not only the merit of simplicity, but students are well placed to understand and appreciate more sophisti...

Πίνακας περιεχομένων:

• Preface
• 1. Introduction
• 2. Sequences
• 3. Series
• 4. Limits of Functions
• 5. Continuity
• 6. Differentiability
• 7. The Riemann Integral
• 8. Taylor Polynomials and Taylor Series
• 9. The Fixed Point Problem
• 10. Sequences of Functions
• Bibliography
• Index.