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.
- ISBN10 1281954578
- ISBN13 9781281954572
- Publish Date 1 January 2008
- Publish Status Active
- Out of Print 17 February 2015
- Publish Country US
- Imprint Birkhauser Boston
- Format eBook
- Pages 339
- Language English