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The book systematically explores potential functions, catering to students familiar with partial derivatives and multiple integrals. It aims to introduce fundamental concepts while also serving as a reference for mathematicians. Emphasizing physical intuition, the author employs rigorous proofs to present unique results, such as the divergence theorem in Chapter IV and advanced treatments of integral equations in Chapter XI, addressing challenges like kernel discontinuity and recent developments in the Dirichlet problem.
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Foundations of Potential Theory, Oliver Dimon Kellogg
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- 2012
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