With this second volume, we enter the intriguing world of complex
analysis. From the first theorems on, the elegance and sweep of the
results is evident. The starting point is the simple idea of extending a
function initially given for real values of the argument to one that is
defined when the argument is complex. From there, one proceeds to the
main properties of holomorphic functions, whose proofs are generally
short and quite illuminating: the Cauchy theorems, residues, analytic
continuation, the argument principle.
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