Conformal Mapping: Methods and Applications
Roland Schinzinger, Patricio A. A. LauraBooks.org participates in affiliate programs including Bookshop.org and the Amazon Services LLC Associates Program. We may earn a commission from qualifying purchases made through links on this page, at no additional cost to you.
Overview
Beginning with a brief survey of some basic mathematical concepts, this graduate-level text proceeds to discussions of a selection of mapping functions, numerical methods and mathematical models, nonplanar fields and nonuniform media, static fields in electricity and magnetism, and transmission lines and waveguides; and much more. Revision of 1991 edition. Includes 247 figures and 38 tables. Appendices.Conformal mapping is a powerful method of analysis with many successful applications in modern technology. The aim of this book is to enlighten readers on the advantages of conformal mapping by illustrating its wide applicability and describing the new mathematical techniques available.
Conformal mapping uses functions of complex variables to transform complicated boundaries into simpler, more readily analyzed configurations. It has usually been assumed to be restricted to planar fields satisfying Laplace's equation, fields in uniform media, and regions which are not awkwardly connected in multiple ways. This book shows how these restrictions can be lifted in many cases of practical significance by analytical and numerical techniques. Modern Applications involve not only new or revised algorithms; equally significant is the use of classical methods in new technologies. It is particularly in the latter category that many problems are found which are amenable to elegant, insightful solutions by conformal mapping without resorting to routine, lengthy numerical procedures.
The book will be of interest to research workers, and those wishing to become reacquainted with the basic mathematical tools. The reader will gain a comprehensive understanding of conformal mapping as a promising problem solver in areas as diverse as electromagnetics, heat flow, fluid flow, mechanics, and acoustics
Synopsis
Revising their 1991 text, Schinzinger (electrical engineering and computer science, U. of California at Irvine) and Laura (U. Nacional del Sur, Argentina) continue to seek to spark interest in comformal mapping as an analytical method by showing its applications and greater efficiencies in a number of nonclassical areas of electromagnetics, heat flow, fluid flow, mechanics, and acoustics. Annotation ©2004 Book News, Inc., Portland, OR