Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces
R. Courant
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Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces

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It has always been a temptation for mathematicians to present the crystallized product of their thoughts as a deductive general theory and to relegate the individual mathematical phenomenon into the role of an example. The reader who submits to the dogmatic form will be easily indoctrinated. Enlightenment, however, must come from an understanding of motives; live mathematical development springs from specific natural problems which can be easily understood, but whose solutions are difficult and demand new methods of more general significance. The present book deals with subjects of this catego...