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Geometric integration theory [electronic resource]
- 作者: Krantz, Steven.
- 其他作者:
- 出版: Boston : Birkhauser Boston
- 叢書名: Cornerstones
- 主題: Geometric measure theory. , Currents (Calculus of variations) , Convex and Discrete Geometry. , Integral Transforms, Operational Calculus. , Integral equations , Geometry , Differential Geometry. , Mathematics , Measure and Integration.
- ISBN: 9780817646790 (electronic bk.) 、 9780817646769 (paper)
- FIND@SFXID: CGU
- 資料類型: 電子書
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讀者標籤:
- 系統號: 005031152 | 機讀編目格式
館藏資訊
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 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, this book is a comprehensive introduction ideal for both self-study and for use in the classroom. The exposition demands minimal background, is self-contained and accessible, and thus is ideal for both graduate students and researchers.
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