Title: Geometric integration theory
First published: 2008
Description: "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.
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, Operational Calculus Integral Transforms, Differential Geometry, Convex and Discrete Geometry
LC classification: QA312 .K73 2008