Geometric integration theory

By Steven G. Krantz

Subjects: Geometry, Integral Transforms, Calculus of variations, Integral equations, Integral Equations, Measure and Integration, Measure theory, Differential Geometry, Discrete groups, Operational Calculus Integral Transforms, Convex and Discrete Geometry, Global differential geometry, Mathematics, Geometric measure theory, Currents (Calculus of variations)

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.