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Handbook of Conformal Mappings and Applications

Autor Prem K. Kythe
en Limba Engleză Paperback – 18 dec 2020
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.
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Specificații

ISBN-13: 9780367731595
ISBN-10: 0367731592
Pagini: 944
Dimensiuni: 178 x 254 x 56 mm
Greutate: 1.75 kg
Ediția:1
Editura: CRC Press
Colecția Chapman and Hall/CRC

Cuprins

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

Notă biografică

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.

Descriere

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.