A tale of ellipsoids in potential theory
Dmitry Khavinson, Erik Lundberg
TL;DR
This paper explores the classical potential theory properties of ellipsoids, highlighting both well-known and lesser-known mathematical facts to revive interest in these geometric objects.
Contribution
It uncovers and discusses previously overlooked properties of ellipsoids within classical potential theory.
Findings
Revealed forgotten properties of ellipsoids
Connected classical potential theory with geometric insights
Revived interest in ellipsoids' mathematical properties
Abstract
Ellipsoids possess several beautiful properties associated with classical potential theory. Some of them are well known, and some have been forgotten. In this article we hope to bring a few of the "lost" pieces of classical mathematics back to the limelight.
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Taxonomy
TopicsAnalytic Number Theory Research · History and Theory of Mathematics · Mathematics and Applications