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Handbook of Conformal Mappings and Applications

Edited by: Prem K. Kythe

Print publication date:  March  2019
Online publication date:  March  2019

Print ISBN: 9781138748477
eBook ISBN: 9781315180236
Adobe ISBN:

10.1201/9781315180236
 Cite  Marc Record

Book description

The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem ? for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk. The Handbook of Conformal Mappings and Applications is a compendium of at least all known conformal maps to date, with diagrams and description, and all possible applications in different scientific disciplines, such as: fluid flows, heat transfer, acoustics, electromagnetic fields as static fields in electricity and magnetism, various mathematical models and methods, including solutions of certain integral equations.

Table of contents

Prelims Download PDF
Chapter  1:  Introduction Download PDF
Chapter  2:  Conformal Mapping Download PDF
Chapter  3:  Linear and Bilinear Transformations Download PDF
Chapter  4:  Algebraic Functions Download PDF
Chapter  5:  Exponential Family of Functions Download PDF
Chapter  6:  Joukowski Airfoils Download PDF
Chapter  7:  Schwarz-Christoffel Transformations Download PDF
Chapter  8:  Schwarz-Christoffel Integrals Download PDF
Chapter  9:  Nearly Circular Regions Download PDF
Chapter  10:  Integral Equation Methods Download PDF
Chapter  11:  Theodorsen’s Integral Equation Download PDF
Chapter  12:  Symm’s Integral Equation Download PDF
Chapter  13:  Airfoils and Singularities Download PDF
Chapter  14:  Doubly Connected Regions Download PDF
Chapter  15:  Multiply Connected Regions Download PDF
Chapter  16:  Grid Generation Download PDF
Chapter  17:  Field Theories Download PDF
Chapter  18:  luid Flows Download PDF
Chapter  19:  Heat Transfer Download PDF
Chapter  20:  Vibrations and Acoustics Download PDF
Chapter  21:  Electromagnetic Field Download PDF
Chapter  22:  Transmission Lines and Waveguides Download PDF
Chapter  23:  Elastic Medium Download PDF
Chapter  24:  Finite Element Method Download PDF
Chapter  25:  Computer Programs and Resources Download PDF
AppendixH Download PDF
AppendixF Download PDF
AppendixC Download PDF
AppendixD Download PDF
Bibliography Download PDF
AppendixI Download PDF
AppendixB Download PDF
AppendixA Download PDF
AppendixE Download PDF
AppendixG Download PDF
AppendixJ Download PDF
Index Download PDF

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