From Real to Complex Analysis

• Main Authors: Dyer, R. H. (Author), Edmunds, D. E. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Mathematics.; Functions of complex variables.; Measure theory.; Functions of real variables.; Measure and Integration.; Real Functions.; Functions of a Complex Variable.

The purpose of this book is to provide an integrated course in real and complex analysis for those who have already taken a preliminary course in real analysis. It particularly emphasises the interplay between analysis and topology. Beginning with the theory of the Riemann integral (and its improper...

Table of Contents:

• The Riemann integral
• Metric spaces
• Complex Analysis
• Sets and functions.