Introduction, fundamentals, geometry and basic boundary value problems
著者
書誌事項
Introduction, fundamentals, geometry and basic boundary value problems
（Lectures on minimal surfaces, v. 1）
Cambridge University Press, 2008
- : pbk
- タイトル別名
-
Vorlesungen über Minimalflächen
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注記
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
内容説明・目次
内容説明
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.
目次
- 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.
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