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An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.
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An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.
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The problem of finding minimal surfaces, i. e. of finding the surface of least area among those bounded by a given curve, was one of the first considered after
Measure Theory and Fine Properties of Functions
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This book provides a detailed examination of the central assertions of measure theory in n-dimensional Euclidean space and emphasizes the roles of Hausdorff mea
Geometric Integration Theory
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This textbook introduces geometric measure theory through the notion of currents. Currents, continuous linear functionals on spaces of differential forms, are a