Handbook of conformal mappings and applications

著者

書誌事項

Handbook of conformal mappings and applications

Prem K. Kythe

CRC Press, c2019

  • : hardback

大学図書館所蔵 件 / 全3件

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注記

"A Chapman & Hall book"--Cover

Includes bibliographical references (p. [853]-894) and index

内容説明・目次

内容説明

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.

目次

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

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