A Course in Calculus and Real Analysis

• Main Authors: Ghorpade, Sudhir R. (Author), Limaye, Balmohan V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2006.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Functions of real variables.; Sequences (Mathematics).; Analysis.; Real Functions.; Sequences, Series, Summability.

This book provides a self-contained and rigorous introduction to calculus of functions of one variable. The presentation and sequencing of topics emphasizes the structural development of calculus. At the same time, due importance is given to computational techniques and applications. The authors hav...

Table of Contents:

• Numbers and Functions
• Sequences
• Continuity and Limits
• Differentiation
• Applications of Differentiation
• Integration
• Elementary Transcendental Functions
• Applications and Approximations of Riemann Integrals
• Infinite Series and Improper Integrals.