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The theory of differentiable functions

Chapter
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Part of the Chapman & Hall Mathematics Series book series (CHMS)

Abstract

In this chapter we investigate the properties of complex functions that are assumed to be differentiable, not just at an isolated point, but throughout an open set. We obtain a spectacular sequence of results, most of them quite unlike any theorems applying to real functions. This is one of the classic theories of Mathematics — there is perhaps no other instance in which a comparable succession of good theorems is obtained with such ease and elegance.

Keywords

Entire Function Conformal Mapping Differentiable Function Complex Function Laurent Series 
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.

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Copyright information

© G. J. O.Jameson 1970

Authors and Affiliations

  1. 1.University of WarwickUK

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