Introduction to Complex Analysis
- 2nd ed.
- New Delhi Oxford University Press 2015
- xiii, 328p.
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