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These lectures, delivered at Columbia University in the fall of 1911, extend into mathematics and physics. The titles of the lectures are as follows: "The Determination of Solutions of Linear Partial Differential Equations by Boundary Conditions;" "Contemporary Researches in Differential Equations, Integral Equations, and Integro-Differential Equations:" "Analysis-Situs in Connection with Correspondences and Differential Equations;" "Elementary Solutions of Partial Differential Equations and Green's Functions. -School Science and Mathematics, Volume 16

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