A Problem Book in Real Analysis

• Main Authors: Aksoy, Asuman G. (Author), Khamsi, Mohamed A. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York, 2010.
• Series: Problem Books in Mathematics,
• Subjects: Mathematics.; Global analysis (Mathematics).; Analysis.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-1296-1

Today, nearly every undergraduate mathematics program requires at least one semester of real analysis. Often, students consider this course to be the most challenging or even intimidating of all their mathematics major requirements. The primary goal of A Problem Book in Real Analysis is to alleviate...

Table of Contents:

• Preface
• Elementary Logic and Set Theory
• Real Numbers
• Sequences
• Limits of Functions
• Continuity
• Differentiability
• Integration
• Series
• Metric Spaces
• Fundamentals of Topology
• Sequences and Series of Functions
• Index
• References.