Applied and Computational Complex Analysis : Power Series, Integration, Conformal Mapping, Location of Zeros

Henrici, Peter

ISBN 10: 0471372447 ISBN 13: 9780471372448

Published by Wiley & Sons, Incorporated, John, 1974

Language: English

Condition: Used - Good Hardcover

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Bibliographic Details

Title

Applied and Computational Complex Analysis : Power Series, Integration, Conformal Mapping, Location of Zeros

Publisher

Wiley & Sons, Incorporated, John

Publication Date

1974

Language

English

ISBN 10

0471372447

ISBN 13

9780471372448

Binding

Hardcover

Condition

Good

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At a mathematical level accessible to the non-specialist, the third of a three-volume work shows how to use methods of complex analysis in applied mathematics and computation. The book examines two-dimensional potential theory and the construction of conformal maps for simply and multiply connected regions. In addition, it provides an introduction to the theory of Cauchy integrals and their applications in potential theory, and presents an elementary and self-contained account of de Branges' recently discovered proof of the Bieberbach conjecture in the theory of univalent functions. The proof offers some interesting applications of material that appeared in volumes 1 and 2 of this work. It discusses topics never before published in a text, such as numerical evaluation of Hilbert transform, symbolic integration to solve Poisson's equation, and osculation methods for numerical conformal mapping.

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