Introduction to Complex Analysis

Priestley H A

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

9780195684070


Complex Analysis
Analysis
Mathematics

515.9 / PRI/I