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Coulomb worked on applied mechanics but he is best known for his work on electricity and magnetism. He established experimentally the inverse square law for the force between two charges which became the basis of Poisson's mathematical theory of magnetism.
Coulomb also wrote on structural analysis, the fracture of beams, the fracture of columns, the thrust of arches and the thrust of the soil.
References (4 books/articles)
References elsewhere in this archive:
There is a Crater Coulomb on the moon. You can see a list of lunar features named after mathematicians.