Integral Equivalence of Divergence

The divergence of a given vector field is shown to be the limit of the ratio of surface flux to enclosed volume, where shrinking spheres are the enveloping surfaces.

Alternative Content
Return to the list of topics
Resources:
Download the Maple document
Download the videos used in this example
Dig Deeper: Related topics from Maple
online help
Recorded Webinar
 
Share this example
Visit MaplePrimes
The Maplesoft User Community
Learn more about Maple
About the instructor
Dr. Robert Lopez
Dr. Robert J. Lopez

Robert Lopez, Emeritus Professor of Mathematics at the Rose-Hulman Institute of Technology in Terre Haute, Indiana, USA, is an award winning educator in mathematics and is the author of several books including Advanced Engineering Mathematics (Addison-Wesley 2001). For more than two decades, Dr. Lopez has also been a visionary figure in the introduction of Maplesoft technology into undergraduate education.