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Re: visualizing fields near charged objects

You are right. I mostly thought that Abromowitz is better known and
widespread; the 3D cases have to be generalized from the information they
give. I have Visscher's book as well, also obtained from a pub. rep.;I wish
I had thought of it when I gave the references.

It is an interesting book taking a finite difference approach to E&M rather
than the continuum limit (ordinary versions utilizing vector calculus

I've never been brave enough to teach out of it. Has anybody on the list
done that?

Joel Rauber

-----Original Message-----
From: Forum for Physics Educators
[]On Behalf Of Leigh Palmer
Sent: Friday, February 09, 2001 2:20 PM
Subject: Re: visualizing fields near charged objects

At 9:39 AM -0600 2/9/01, Joel Rauber wrote:
A partial answer to this question is that one must develope a finite
difference scheme to approximate the laplacian in these
coordinates. Some
references that are readily available and may be of partial help.

Abromowitz & Stegun: section 25 around page 877

They seem to think the world is two dimensional*. A reference I just
found this morning may be more to the point: "Fields and
A Computer-Compatible Introduction" by Pieter B. Visscher.
Chapter 16 is
devoted to this and more. I got this book from a publisher's rep some
time ago. I hadn't really looked at it much before this
morning. The book
may be obscure; Amazon shows it as out of print. It was
published in 1988
so check you unperused publishers' samples.


*They write Laplace's equation in two dimensions.