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2D Electrostatic Fields - A Complex Variable Approach (Hardcover)
Loot Price: R3,270
Discovery Miles 32 700
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2D Electrostatic Fields - A Complex Variable Approach (Hardcover)
Expected to ship within 12 - 17 working days
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This book demonstrates how to use functions of a complex variable
to solve engineering problems that obey the 2D Laplace equation
(and in some cases the 2D Poisson equation). The book was written
with the engineer/physicist in mind and the majority of the book
focuses on electrostatics. A key benefit of the complex variable
approach to electrostatics is the visualization of field lines
through the use of field maps. With todays' powerful computers and
mathematical software programs, field maps are easily generated
once the complex potential has been determined. Additionally,
problems that would have been considered out of scope previously
are now easily solved with these mathematical software programs.
For example, solutions requiring the use of non-elementary
functions such as elliptic and hypergeometric functions would have
been viewed as not practical in the past due to the tedious use of
look up tables for evaluation. Now, elliptic and hypergeometric
functions are built-in functions for most mathematical software
programs making their evaluation as easy as a trigonometric
function. Key highlights in the book include 2D electrostatics
completely formulated in terms of complex variables More than 60
electrostatic field maps Comprehensive treatment for obtaining
Green's functions with conformal mapping Fully worked
Schwarz-Christoffel transformations to more than usual number of
problems A full chapter devoted to solving practical problems at an
advanced level Detailed solutions to all end of chapter problems
available on book's website Although the text is primarily
self-contained, the reader is assumed to have taken differential
and integral calculus and introductory courses in complex variables
and electromagnetics.
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