"There are more than 75 case studies of concrete conformal maps and more than 95 end-of-chapter exercises... Accessible to graduate students...it can also serve as a handbook for scientists and engineers who want to work with conformal maps... The book is a welcome addition to the literature. Its ample supply of case studies of conformal maps between given domains and the end-of chapter exercises are particularly attractive and helpful."
--Mathematical Reviews
Author(s): Prem K. Kythe (auth.)
Edition: 1
Publisher: Birkhäuser Basel
Year: 1998
Language: English
Pages: 462
Tags: Several Complex Variables and Analytic Spaces; Computational Mathematics and Numerical Analysis; Functions of a Complex Variable
Front Matter....Pages i-xiv
Introduction....Pages 1-14
Basic Concepts....Pages 15-40
Conformal Mappings....Pages 41-67
Schwarz—Christoffel Integrals....Pages 68-91
Polynomial Approximations....Pages 92-119
Nearly Circular Regions....Pages 120-146
Green’s Functions....Pages 147-167
Integral Equation Methods....Pages 168-206
Theodorsen’s Integral Equation....Pages 207-236
Symm’s Integral Equation....Pages 237-268
Airfoils....Pages 269-294
Doubly Connected Regions....Pages 295-319
Singularities....Pages 320-357
Multiply Connected Regions....Pages 358-378
Grid Generation....Pages 379-400
Back Matter....Pages 401-462