## Complex numbers and conformal mappingHindustan Pub. Corp.; sole distributors for Western Hemisphere: Gordon and Breach, New York, 1961 - Mathematics - 62 pages |

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ABCD absolute value addition and multiplication aeroplane angle 9 angle Arg angle is equal arc PLQ Arg z0 argument cardioid circle P'L'M coincides complex numbers complex variable conformal mapping consequently consider corresponding point cos2 curve QP cx and c2 denoted diameter displacement equal to Arg equal to zero functions of complex geometrical half-plane Hence imaginary number imaginary unit inclined to A'x intersecting law of multiplication line A'M line P'L Moivre's Formula multiply the length natural magnitude negative direction negative number northern hemisphere number axis operations origin of coordinates parallel plane point Q point z0 polygon positive direction problem rational functions real numbers real positive number represent the number representing the product rotation secant segment PQ shaded figure sin2 stereographic projection straight line QR tangent tion transformed by means triangle vector ABU vector AE vector obtained vector representing wing z2 transforms Zhukovsky function