Titlebook: Complex Analysis; Joseph Bak,Donald J. Newman Textbook 2010Latest edition Springer Science+Business Media, LLC 2010 Analysis.Complex analy

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Thesen zur Perspektive des Sportsponsoring,We now seek to generalize the Cauchy Closed Curve Theorem (8.6) to functions which have isolated singularities.

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Aufgabenstellung und Vorgehensweise,We have already seen how the Residue Theorem can be used to evaluate real line integrals. The techniques involved, however, are in noway limited to real integrals. To evaluate an integral along any contour, we can always switch to a more “convenient” contour as long as we account for the pertinent residues of the integrand.

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Auswahl von Sponsorships im Sportsponsoring,Before proving the Riemann Mapping Theorem, we examine the relation between conformal mapping and the theory of fluid flow. Our main goal is to motivate some of the results of the next section and the treatment here will be less formal than that of the remainder of the book.

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Grundlagen des Sportsponsorings,In this chapter, we focus on the real parts of analytic functions and their connection with real harmonic functions.

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Properties of Entire Functions,We now show that if f is entire and if.then the Integral Theorem (4.15) and Closed Curve Theorem (4.16) apply to . as well as to .. (Note that since . is entire, . is continuous; however, it is not obvious that . is entire.)We begin by showing that the Rectangle Theorem applies to ..

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