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The theory of minimal submanifolds is a fascinating field in differential geometry. The simplest, one-dimensional minimal submanifold, the geodesic, has been studied quite exhaustively, yet there are still a lot of interesting open problems.

Minimal surfaces. --- Minimal surfaces

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This book gives a unified presentation of different mathematical tools used to solve classical problems like Plateau's problem, Bernstein's problem, Dirichlet's problem for the Minimal Surface Equation and the Capillary problem.The fundamental idea is a quite elementary geometrical definition of codimension one surfaces. The isoperimetric property of the Euclidean balls, together with the modern theory of partial differential equations are used to solve the 19th Hilbert problem. Also included is a modern mathematical treatment of capillary problems.

Minimal surfaces. --- Geometry, Differential. --- Differential geometry --- Surfaces, Minimal --- Maxima and minima --- Minimal surfaces

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"The text is fully self-contained, bringing together a mixture of types of mathematics along with a bit of the physics that underlies the subject. The development is primarily from first principles, requiring no advanced background material from either mathematics or physics."--Jacket.

Minimal surfaces --- Soap-bubbles --- Surface tension. --- Tension superficielle --- Data processing. --- Maple (Computer file) --- Soap bubbles. --- Surface phenomena --- Capillarity --- Liquids --- Surface chemistry --- Surface energy --- Wetting --- Bubbles --- Surfaces, Minimal --- Maxima and minima --- Soap bubbles --- Surface tension --- Data processing --- Minimal surfaces - Data processing.

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Minimal surfaces --- Surfaces minimales --- 514.75 --- Differential geometry in spaces with fundamental groups --- 514.75 Differential geometry in spaces with fundamental groups --- Surfaces, Minimal --- Maxima and minima

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Oppervlakken [Minimale ] --- Plateau [Problème de ] --- Plateau's problem --- Probleem van Plateau --- Surfaces [Minimal ] --- Surfaces minimales --- Minimal surfaces --- Plateau, problème de --- Douglas, Jesse, --- Plateau, Joseph, --- Radó, Tibor, --- Plateau's problem. --- Minimal surfaces. --- Surfaces, Minimal --- Maxima and minima --- Minimal surface problem --- Plateau problem --- Problem of Plateau --- Radó, T. --- Radó, Tibor, --- Plateau, problème de