Handbook of Conformal Mappings and Applications
1st Edition
Published on 4. March 2019
942 pages
978-1-351-71872-1 (ISBN)
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.
More details
Edition
1. Auflage
Language
English
Place of publication
London
United Kingdom
Publishing group
Taylor & Francis Ltd
Target group
College/higher education
Product notice
Reflowable
Illustrations
27 Tables, black and white; 530 Illustrations, black and white
File size
59,63 MB
ISBN-13
978-1-351-71872-1 (9781351718721)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Prem K. Kythe
Handbook of Conformal Mappings and Applications
Book
12/2020
1st Edition
Chapman & Hall/CRC
€72.40
Shipment within 15-20 days
Prem K. Kythe
Handbook of Conformal Mappings and Applications
Book
03/2019
1st Edition
CRC Press
€386.26
Shipment within 10-20 days
Person
Prem K. Kythe is a Professor Emeritus of Mathematics at the University of New Orleans. He is the author/co-author of 12 books and author of 46 research papers. His research interests encompass the fields of complex analysis, continuum mechanics, and wave theory, including boundary element methods, finite element methods, conformal mappings, PDEs and boundary value problems, linear integral equations, computation integration, fundamental solutions of differential operators, Green's functions, and coding theory.
Content
Part 1: Theory and Conformal Maps
1 Introduction
2 Conformal Mapping
3 Linear and Bilinear Transformations
4 Algebraic Functions
5 Exponential Family of Functions
6 Joukowski Airfoils
7 Schwarz-Christoffel Transformation
Part 2: Numerical Methods
8 Schwarz-Christoffel Integrals
9 Nearly Circular Regions
10 Integral Equation Methods
11 Theodorsen's Integral Equation
12 Symm's Integral Equation
13 Airfoils and Singularities
14 Doubly Connected Regions
15 Multiply Connected Regions
Part 3: Applications
16 Grid Generation
17 Field Theories
18 Fluid Flows
19 Heat Transfer
20 Vibrations and Acoustics
21 Electromagnetic Field
22 Transmission Lines and Waveguides
23 Elastic Medium
24 Finite Element Method
25 Computer Programs and Resources
1 Introduction
2 Conformal Mapping
3 Linear and Bilinear Transformations
4 Algebraic Functions
5 Exponential Family of Functions
6 Joukowski Airfoils
7 Schwarz-Christoffel Transformation
Part 2: Numerical Methods
8 Schwarz-Christoffel Integrals
9 Nearly Circular Regions
10 Integral Equation Methods
11 Theodorsen's Integral Equation
12 Symm's Integral Equation
13 Airfoils and Singularities
14 Doubly Connected Regions
15 Multiply Connected Regions
Part 3: Applications
16 Grid Generation
17 Field Theories
18 Fluid Flows
19 Heat Transfer
20 Vibrations and Acoustics
21 Electromagnetic Field
22 Transmission Lines and Waveguides
23 Elastic Medium
24 Finite Element Method
25 Computer Programs and Resources
