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Unformatted text preview: (a) Taylor series = Holomorphic function (uniquely) (b) coecients in terms of an integral (c) Classication of Zeros (d) Identity Principle and Max-Modulus Theorem (e) harmonic series; exp, sin, cos, geometric power series Chapter 9: (and some of Ch. 8) Laurent Series and Singularities (a) double series (b) Singularities: isolated; classication into removable, pole, essential (c) singluarities in terms of power series (d) Residues (e) the Argument Principle (f) Rouches Theorem 1...
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- Spring '10