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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 natural language in which to formulate various types of extremal problems arising in geometry, and can be used to study generalized versions of the Plateau problem and related questions in geometric analysis." "Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom as well as for self-study. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for graduate students and researchers."--Jacket.
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Previews available in: English
Subjects
Geometric measure theory, Currents (Calculus of variations), Calculus of variations, Measure theory, Mathematics, Integral equations, Integral Transforms, Geometry, Discrete groups, Global differential geometry, Measure and Integration, Integral Equations, Operational Calculus Integral Transforms, Differential Geometry, Convex and Discrete GeometryShowing 1 featured edition. View all 1 editions?
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Edition Notes
Includes bibliographical references (p. [323]-327) and indexes.
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- Created April 27, 2009
- 12 revisions
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November 28, 2023 | Edited by MARC Bot | import existing book |
February 26, 2022 | Edited by ImportBot | import existing book |
February 26, 2022 | Edited by ImportBot | import existing book |
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April 27, 2009 | Created by ImportBot | Imported from Library of Congress MARC record |