Introduction, fundamentals, geometry and basic boundary value problems
Author(s)
Bibliographic Information
Introduction, fundamentals, geometry and basic boundary value problems
(Lectures on minimal surfaces, v. 1)
Cambridge University Press, 2008
- : pbk
- Other Title
-
Vorlesungen über Minimalflächen
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Note
Originally published in German as the first 5 chapters of Vorlesungen über Minimalflächen (Grundlehren der mathematischen Wissenschaften ; 199) by Springer-Verlag, Berlin, 1975
Translation draft by Jerry M. Feinberg ; edited by Annelise Schmidt ; revised, extended and updated by the author
Bibliography: p. [489]-546
Includes indexes
This digitally printed version 2008 -- t.p. verso
"Paperback Re-issue" -- On backcover
Description and Table of Contents
Description
This 1989 monograph deals with parametric minimal surfaces in Euclidean space. The author presents a broad survey which extends from the classical beginnings to the current situation whilst highlighting many of the subject's main features and interspersing the mathematical development with pertinent historical remarks. The presentation is complete and is complemented by a bibliography of nearly 1600 references. The careful expository style and emphasis on geometric aspects are extremely valuable. Moreover, in the years leading up to the publication of this book, the theory of minimal surfaces was finding increasing application to other areas of mathematics and the physical sciences ensuring that this account will appeal to non-specialists as well.
Table of Contents
- Preface to the English edition
- Preface to the German edition
- 1. Introduction
- 2. Curves and Surfaces
- 3. Conformal mapping and minimal surfaces
- 4. Results from analysis
- 5. Plateau's problem
- Appendix
- References
- Name Index
- Subject Index.
by "Nielsen BookData"