Introduction, fundamentals, geometry and basic boundary value problems

Author(s)

• Nitsche, Johannes C. C.

Bibliographic Information

Introduction, fundamentals, geometry and basic boundary value problems

Johannes C.C. Nitsche

（Lectures on minimal surfaces, v. 1）

Cambridge University Press, 1989

Other Title

Vorlesungen über Minimalflächen

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 index

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"

Details

• NCID: BA07311614
• ISBN:
  • 0521244277
• LCCN: 87017844
• Country Code: uk
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: ger
• Place of Publication: Cambridge [Cambridgeshire]
• Pages/Volumes: xxv, 563 p., [1] leaf of plates
• Size: 24 cm
• Classification:
  • LCC : QA644
  • DC19 : 516.3/6
  • NDC8 : 414.7
• Subject Headings:
  • LCSH : Surfaces, Minimal
• Parent Bibliography ID:
  • BA07311749