Elements of Complex Analysis

  • Daniel W. StroockEmail author


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.


Complex Number Triangle Inequality Open Disk Polar Representation Multiplicative Structure 
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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Department of MathematicsMassachusetts Institute of TechnologyCambridgeUSA

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