Overview

This text presents a self-contained and systematic survey of the theory and computation of conformal mappings of simply and multiply-connected regions onto the unit disk or canonical region. It provides coverage of the concepts and related numerial computations with applications to relevant areas of applied mathematics, physics and engineering. The text is intended for graduates, mathematicians, scientists and engineers who need to use effectively a variety of methods for conformal mapping problems.

Full Product Details

Author:   Prem Kythe
Publisher:   Birkhauser Boston Inc
Imprint:   Birkhauser Boston Inc
Edition:   1998 ed.
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   1.880kg
ISBN:  

9780817639969

ISBN 10:   0817639969
Pages:   462
Publication Date:   08 December 1998
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   Awaiting stock  
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Table of Contents

0. Introduction.- 1. Basic Concepts.- 2. Conformal Mappings.- 3. Schwarz—Christoffel Integrals.- 4. Polynomial Approximations.- 5. Nearly Circular Regions.- 6. Green’s Functions.- 7. Integral Equation Methods.- 8. Theodorsen’s Integral Equation.- 9. Symm’s Integral Equation.- 10. Airfoils.- 11. Doubly Connected Regions.- 12. Singularities.- 13. Multiply Connected Regions.- 14. Grid Generation.- Appendix A. Cauchy P. V. Integrals.- A.1. Numerical Evaluation.- Appendix B. Green’s Identities.- Appendix C. Riemann—Hilbert Problem.- C.1. Homogeneous Hilbert Problem.- C.2. Nonhomogeneous Hilbert Problem.- C.3. Riemann—Hilbert Problem.- Appendix D. Successive Approximations.- D.1. Tables.- Appendix E. Catalog of Conformal Mappings.- Bibliography 431 Notation.

Reviews

There are more than 75 case studies of concrete conformal maps and more than 95 end-of-chapter exercises... Accessible to graduate students...it can also serve as a handbook for scientists and engineers who want to work with conformal maps... The book is a welcome addition to the literature. Its ample supply of case studies of conformal maps between given domains and the end-of chapter exercises are particularly attractive and helpful. --Mathematical Reviews

There are more than 75 case studies of concrete conformal maps and more than 95 end-of-chapter exercises... Accessible to graduate students...it can also serve as a handbook for scientists and engineers who want to work with conformal maps... The book is a welcome addition to the literature. Its ample supply of case studies of conformal maps between given domains and the end-of chapter exercises are particularly attractive and helpful. --Mathematical Reviews

<p> There are more than 75 case studies of concrete conformal maps and more than 95 end-of-chapter exercises... Accessible to graduate students...it can also serve as a handbook for scientists and engineers who want to work with conformal maps... The book is a welcome addition to the literature. Its ample supply of case studies of conformal maps between given domains and the end-of chapter exercises are particularly attractive and helpful. <p>--Mathematical Reviews

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