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Catalogue Information
Field name	Details
Dewey Class	516.36
Title	Geometric Integration Theory ([Ebook]) / by Steven Krantz, Harold Parks.
Author	Krantz, Steven George , 1951-
Added Personal Name	Parks, Harold
Other name(s)	SpringerLink (Online service)
Publication	Boston : Birkhäuser , 2008.
Physical Details	: online resource.
Series	Cornerstones
ISBN	9780817646790
Summary Note	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. Key features of Geometric Integration Theory: * Includes topics on the deformation theorem, the area and coarea formulas, the compactness theorem, the slicing theorem and applications to minimal surfaces * Applies techniques to complex geometry, partial differential equations, harmonic analysis, differential geometry, and many other parts of mathematics * Provides considerable background material for the student Motivating key ideas with examples and figures, Geometric Integration Theory is a comprehensive introduction ideal for use in the classroom and for self-study. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for graduate students and researchers.:
Contents note	Preface -- Basics -- Carathéodory's Construction and Lower-Dimensional Measures -- Invariant Meaures and the Construction of Haar Meaure -- Covering Theorems and the Differentiation of Integrals -- Analytical Tools: the Area Formula, the Coarea Formula, and Poincaré Inequalities -- The Calculus of Differential Forms and Stokes's Theorem -- Introduction to Currents -- Currents and the Calculus of Variations -- Regularity of Mass-Minimizing Currents -- Appendix.-References -- Index of Notation -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-0-8176-4679-0
Links to Related Works	Subject References: Convex and Discrete Geometry . Differential Geometry . Discrete groups . Geometry . Global differential geometry . Integral Equations . Integral transforms . Integral Transforms, Operational Calculus . Measure and Integration . Authors: author . Krantz, Steven George 1951- . Parks, Harold . Corporate Authors: SpringerLink (Online service) . Series: Cornerstones . Classification: 516.36 . 516.36 (DDC 23) .

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Geometric Integration Theory

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