Overview
- Self-contained, inclusive, and accessible for both the graduate students and researchers
- Motivates the key ideas with examples and figures
- Includes considerable background material and complete proofs
Part of the book series: Cornerstones (COR)
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Table of contents (10 chapters)
Reviews
From the reviews:
"This is a graduate textbook with the main purpose of introducing geometric measure theory through the notion of currents. … One of the most important features of this text is that it is self-contained … . The book also contains an Appendix … as well as extended list of references, making it a good text for a graduate course, as well as for an independent or self study." (Mihaela Poplicher, The Mathematical Association of America, March, 2009)
"The book under review succeeds in giving a complete and readable introduction to geometric measure theory. It can be used by students willing to learn this beautiful theory or by teachers as a basis for a one- or two-semester course." (Andreas Bernig, Mathematical Reviews, Issue 2009 m)
“The authors present main fields of applications, namely the isoperimetric problem and the regularity of minimal currents. The exposition is detailed and very well organized and therefore the book should be quite accessible for graduate students.” (R. Steinbauer, Monatshefte für Mathematik, Vol. 162 (3), March, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: Geometric Integration Theory
Authors: Steven Krantz, Harold Parks
Series Title: Cornerstones
DOI: https://doi.org/10.1007/978-0-8176-4679-0
Publisher: Birkhäuser Boston, MA
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Birkhäuser Boston 2008
Hardcover ISBN: 978-0-8176-4676-9Published: 12 August 2008
eBook ISBN: 978-0-8176-4679-0Published: 15 December 2008
Series ISSN: 2197-182X
Series E-ISSN: 2197-1838
Edition Number: 1
Number of Pages: XVI, 340
Number of Illustrations: 33 b/w illustrations
Topics: Geometry, Differential Geometry, Measure and Integration, Integral Equations, Integral Transforms, Operational Calculus, Convex and Discrete Geometry