Advertisement

Elements of Complex Analysis

  • Daniel W. StroockEmail author
Chapter

Abstract

It is frustrating that there is no \(x\in {\mathbb R}\) for which \(x^2=-1\). In this chapter we will introduce a structure that provides an extension of the real numbers in which this equation has solutions.

Keywords

Complex Number Triangle Inequality Open Disk Polar Representation Multiplicative Structure 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

Personalised recommendations