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  1. Potential Theory - Dave Rusin; The Mathematical Atlas
    A short article designed to provide an introduction to potential theory, the mathematical treatment of the potential-energy functions used in physics to study gravitation and electromagnetism. If some electrically charged particles are distributed in space, then a function U is defined on all of space (except right where the particles are) which measures the potential energy at each point. This function is harmonic, that is, it satisfies the Laplace equation... Classical problems include the determination of harmonic functions taking prescribed values at a point, on a sphere, and so on (the Dirichlet problem) - that is, determining the force field which results from a particular arrangement of force sources. History; applications and related fields and subfields; textbooks, reference works, and tutorials; software and tables; other web sites with this focus. more>>


 


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