Understanding Analysis

• Main Author: Abbott, Stephen (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2015.
• Edition: Second Edition.
• Series: Undergraduate Texts in Mathematics,
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Analysis.

This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed t...

Table of Contents:

• Preface
• 1 The Real Numbers
• 2 Sequences and Series
• 3 Basic Topology of R
• 4 Functional Limits and Continuity
• 5 The Derivative
• 6 Sequences and Series of Functions
• 7 The Riemann Integral
• 8 Additional Topics
• Bibliography
• Index. .