Overview
- Long expected 2nd ed. of the Grundlehren vol.
- Includes supplementary material: sn.pub/extras
Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 339)
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Table of contents (9 chapters)
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Introduction to the Geometry of Surfaces and to Minimal Surfaces
Reviews
From the reviews of the second edition:
“This volume is in many ways an introduction to differential geometry and to the classical theory of minimal surfaces, and the first four chapters should be readable for graduate students since the only prerequisites are the elements of vector analysis and some basic knowledge of complex analysis. … In general, the material of this volume is self-contained … . For further study the authors refer to the extensive bibliography as well as to comments and references in the Scholia attached to each chapter.” (Andrew Bucki, Mathematical Reviews, Issue 2012 b)
“The most complete and thorough record of the ongoing efforts to justify Lagrange’s optimism. … contain a wealth of new material in the form of newly written chapters and sections … . a compilation of results and proofs from a vast subject. Here were true scholars in the best sense of the word at work, creating their literary lifetime achievements. They wrote with love for detail, clarity and history, which makes them a pleasure to read. … will become instantaneous classics.” (Matthias Weber, The Mathematical Association of America, June, 2011)
Authors and Affiliations
Bibliographic Information
Book Title: Minimal Surfaces
Authors: Ulrich Dierkes, Stefan Hildebrandt, Friedrich Sauvigny
Series Title: Grundlehren der mathematischen Wissenschaften
DOI: https://doi.org/10.1007/978-3-642-11698-8
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2010
Hardcover ISBN: 978-3-642-11697-1Published: 01 October 2010
Softcover ISBN: 978-3-642-26527-3Published: 01 December 2012
eBook ISBN: 978-3-642-11698-8Published: 16 August 2010
Series ISSN: 0072-7830
Series E-ISSN: 2196-9701
Edition Number: 2
Number of Pages: XVI, 692
Number of Illustrations: 140 b/w illustrations, 9 illustrations in colour
Additional Information: Originally published as volume 295 in the series: Grundlehren der mathematischen Wissenschaft
Topics: Calculus of Variations and Optimal Control; Optimization, Differential Geometry, Partial Differential Equations, Functions of a Complex Variable, Theoretical, Mathematical and Computational Physics