TY - BOOK AU - Priestley H A TI - Introduction to Complex Analysis SN - 9780195684070 U1 - 515.9 PY - 2015/// CY - New Delhi PB - Oxford University Press KW - Complex Analysis KW - Analysis KW - Mathematics N1 - Includes bibliographical references and index; Complex numbers Geometry in the complex plane Topology and analysis in the complex plane Holomorphic functions Complex series and power series A menagerie of holomorphic functions Paths Multifunctions: basic track Conformal mapping Cauchy's theorem: basic track Cauchy's theorem: advanced track Cauchy's formulae Power series representation Zeros of holomorphic functions Further theory of holomorphic functions Singularities Cauchy's residue theorem Contour integration: a technical toolkit Applications of contour integration The Laplace transform The Fourier transform Harmonic functions and holomorphic functions Bibliography Notation index Index ER -