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.
With this background, the reader is ready to learn a wealth of additional material connecting the subject with other areas of mathematics: the Fourier.
Complex Analysis (Princeton Lectures in Analysis, No. 2) for free
Complex Analysis (Princeton Lectures in Analysis, No. 2) pdf
Elias M. Stein, Rami Shakarchi ebooks downloads
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