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