Overview
- detailed and complete introduction to the topic
- lecture focus: well suited for postgraduate courses
- summary of the state of the art and open problems
- Includes supplementary material: sn.pub/extras
Part of the book series: Progress in Mathematics (PM, volume 290)
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Table of contents (5 chapters)
Keywords
About this book
Reviews
From the book reviews:
“This award-winning monograph provides an introduction to the topic of mean curvature flow of hypersurfaces in Euclidean space for the advanced student and the researcher … . It reorganizes material scattered throughout the literature within the last 25 years, thereby mainly concentrating on the classical parametric approach due to R. Hamilton and G. Huisken.” (R. Steinbauer, Monatshefte für Mathematik, Vol. 174, 2014)
“In the book under review the author mainly discusses some classical results on mean curvature flow of hypersurfaces. … Specifically, the author also gives some recent conclusions, some references to open problems and research directions. The book is not only suitable for beginners but also for researchers.” (Shouwen Fang, Mathematical Reviews, January, 2013)
“This book gives an introduction to the topic of mean curvature flows of hypersurfaces in Euclidean spaces. … It is written in the style of lecture notes and provides a detailed discussion of the classical parametric approach by R. Hamilton and G. Huisken, as well as the results by other authors scattered over the literature of the last 25 years. … The book finishes with 6 appendices.” (Boris S. Kruglikov, Zentralblatt MATH, Vol. 1230, 2012)
Authors and Affiliations
Bibliographic Information
Book Title: Lecture Notes on Mean Curvature Flow
Authors: Carlo Mantegazza
Series Title: Progress in Mathematics
DOI: https://doi.org/10.1007/978-3-0348-0145-4
Publisher: Birkhäuser Basel
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Carlo Mantegazza and Springer Basel AG 2011
Hardcover ISBN: 978-3-0348-0144-7Published: 28 July 2011
Softcover ISBN: 978-3-0348-0340-3Published: 27 November 2013
eBook ISBN: 978-3-0348-0145-4Published: 28 July 2011
Series ISSN: 0743-1643
Series E-ISSN: 2296-505X
Edition Number: 1
Number of Pages: XII, 168
Topics: Analysis