High Quality Content by WIKIPEDIA articles! In differential geometry, an equiareal map is a smooth map from one surface to another that preserves the area of figures. If M and N are two surfaces in the Euclidean space R3. Differential geometry is a mathematical discipline that uses the methods of differential and integral calculus, as well as linear and multilinear algebra, to study problems in geometry. The theory of plane and space curves and of surfaces in the three-dimensional Euclidean space formed the basis for its initial development in the eighteenth and nineteenth century.

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