The theory of differentiable functions
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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.
KeywordsEntire Function Conformal Mapping Differentiable Function Complex Function Laurent Series
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