Real Analysis via Sequences and Series

• Main Authors: Little, Charles H.C (Author), Teo, Kee L. (Author), van Brunt, Bruce (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2015.
• Series: Undergraduate Texts in Mathematics,
• Subjects: 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...