Needham, Tristan.

Visual complex analysis / Tristan Needham. - Oxford : New York : Clarendon Press, Oxford University Press, 1997. - xxiii, 592 p. : ill ; 24 cm.

Includes bibliographical references (pages 573-578) and index.

Geometry and complex arithmetic -- Complex functions as transformations -- Mobius transformations and inversion -- Differentiation: the amplitwist concept -- Further geometry of differentiation -- Non- euclidean geometry -- Winding numbers and topology -- Complex integration: Cauchy's theorem -- Cauchy's formula and its application -- Vector fields: physics and topology -- Vector fields and complex integration -- Flows and harmonic functions.

0198534477

97165737


Functions of complex variables.
Mathematical analysis

515.9