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Applied and Computational Complex Analysis

Discrete Fourier Analysis, Cauchy Integrals, Construction of Conformal Maps, Univalent Functions v. 3. Pure & Applied Mathematics S.

By (author) Peter Henrici
Format: Hardback
Publisher: John Wiley and Sons Ltd, New York, United States
Imprint: John Wiley & Sons Inc
Published: 22nd Jan 1986
Dimensions: w 150mm h 230mm
Weight: 1049g
ISBN-10: 0471087033
ISBN-13: 9780471087038
Barcode No: 9780471087038
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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