ENGLISH

Applied and Computational Complex Analysis: Special Functions, Integral Transforms, Asymptotics, Continued Fractions

By Peter Henrici

Book information

Publisher
John Wiley & Sons Inc
Year
1977
ISBN
0-471-01525-3, 9780471015253
Open Library ID
OL9393797M
Language
english
Format
DJVU
Filesize
5 MB (5277387 bytes)
Volume
Volume 2
Pages
672\676
Library
math
DPI
300
Time added
2009-07-21 00:29:14

Description

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.

Similar books