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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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.
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Part 1: Theory and Conformal Maps1 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 Methods8 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 Regions15 Multiply Connected Regions Part 3: Applications16 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
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Produktdetaljer
ISBN
9781138748477
Publisert
2019-03-04
Utgiver
Vendor
CRC Press
Vekt
1900 gr
Høyde
254 mm
Bredde
178 mm
Aldersnivå
U, G, 05, 01
Språk
Product language
Engelsk
Format
Product format
Innbundet
Antall sider
942
Forfatter
Biographical note
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.