The theory of differentiable functions

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


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.


Entire Function Conformal Mapping Differentiable Function Complex Function Laurent Series 
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Copyright information

© G. J. O.Jameson 1970

Authors and Affiliations

  1. 1.University of WarwickUK

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