Certain Partial Differential Equations Connected With the Theory of Surfaces (Classic Reprint): Dissertation Submitted to the Board of University ... of Doctor of Philosophy (Classic Reprint) - Softcover

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Excerpt from Certain Partial Differential Equations Connected With the Theory of Surfaces: Dissertation Submitted to the Board of University Studies of the Johns Hopkins University, for the Degree of Doctor of Philosophy
In this paper the work done there has been continued. The first section is introductory, and gives a brief resume of Laplace's method for the integration of linear partial differential equations of the second order.
In the next two sections Professor Craig's equations (e01) and. Are deduced together with their equivalent equations and the corresponding Laplace's series, and the general formulae for calculating their invariants are derived. The form of substitution required to pass from an equation of one series to one of the other series has also been found.
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