Minimal surfaces: 1 Boundary value problems
Minimal surfaces I is an introduction to the field of minimal surfaces and apresentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for studen...
Gespeichert in:
| Format: | Elektronisch E-Book |
|---|---|
| Sprache: | English |
| Veröffentlicht: |
Berlin
Springer-Verlag
[1992]
|
| Schriftenreihe: | Grundlehren der mathematischen Wissenschaften
295 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | Minimal surfaces I is an introduction to the field of minimal surfaces and apresentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current frontiers of knowledge and can alsobe useful to the researcher. The lecturer can easily base courses of one or two semesters on differential geometry on Vol. 1, as many topics are worked out in great detail. Numerous computer-generated illustrations of old and new minimal surfaces are included to support intuition and imagination. Part 2 leads the reader up to the regularity theory fornonlinear elliptic boundary value problems illustrated by a particular and fascinating topic. There is no comparably comprehensive treatment of the problem of boundary regularity of minimal surfaces available in book form. This long-awaited book is a timely and welcome addition to the mathematical literature. |
| Beschreibung: | 1 Online-Ressource (XIII, 508 Seiten) |
| ISBN: | 9783662027912 |
| DOI: | 10.1007/978-3-662-02791-2 |
Internformat
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| 520 | 3 | |a Minimal surfaces I is an introduction to the field of minimal surfaces and apresentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current frontiers of knowledge and can alsobe useful to the researcher. The lecturer can easily base courses of one or two semesters on differential geometry on Vol. 1, as many topics are worked out in great detail. Numerous computer-generated illustrations of old and new minimal surfaces are included to support intuition and imagination. Part 2 leads the reader up to the regularity theory fornonlinear elliptic boundary value problems illustrated by a particular and fascinating topic. There is no comparably comprehensive treatment of the problem of boundary regularity of minimal surfaces available in book form. This long-awaited book is a timely and welcome addition to the mathematical literature. | |
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| illustrated | Not Illustrated |
| index_date | 2024-07-03T14:54:43Z |
| indexdate | 2024-07-20T06:38:46Z |
| institution | BVB |
| isbn | 9783662027912 |
| language | English |
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| spelling | Minimal surfaces 1 Boundary value problems Ulrich Dierkes, Stefan Hildebrand, Albrecht Küster, Ortwin Wohlrab Berlin Springer-Verlag [1992] 1 Online-Ressource (XIII, 508 Seiten) txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften 295 Grundlehren der mathematischen Wissenschaften Minimal surfaces I is an introduction to the field of minimal surfaces and apresentation of the classical theory as well as of parts of the modern development centered around boundary value problems. Part II deals with the boundary behaviour of minimal surfaces. Part I is particularly apt for students who want to enter this interesting area of analysis and differential geometry which during the last 25 years of mathematical research has been very active and productive. Surveys of various subareas will lead the student to the current frontiers of knowledge and can alsobe useful to the researcher. The lecturer can easily base courses of one or two semesters on differential geometry on Vol. 1, as many topics are worked out in great detail. Numerous computer-generated illustrations of old and new minimal surfaces are included to support intuition and imagination. Part 2 leads the reader up to the regularity theory fornonlinear elliptic boundary value problems illustrated by a particular and fascinating topic. There is no comparably comprehensive treatment of the problem of boundary regularity of minimal surfaces available in book form. This long-awaited book is a timely and welcome addition to the mathematical literature. Mathematics Systems theory Global differential geometry Mathematical optimization Differential Geometry Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Theoretical, Mathematical and Computational Physics Mathematik Dierkes, Ulrich Sonstige oth Hildebrandt, Stefan 1936-2015 Sonstige (DE-588)119219050 oth Küster, Albrecht Sonstige oth (DE-604)BV046796768 1 Erscheint auch als Druck-Ausgabe 978-3-662-02793-6 Grundlehren der mathematischen Wissenschaften 295 (DE-604)BV049758308 295 https://doi.org/10.1007/978-3-662-02791-2 Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | Minimal surfaces Grundlehren der mathematischen Wissenschaften Mathematics Systems theory Global differential geometry Mathematical optimization Differential Geometry Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Theoretical, Mathematical and Computational Physics Mathematik |
| title | Minimal surfaces |
| title_auth | Minimal surfaces |
| title_exact_search | Minimal surfaces |
| title_exact_search_txtP | Minimal surfaces |
| title_full | Minimal surfaces 1 Boundary value problems Ulrich Dierkes, Stefan Hildebrand, Albrecht Küster, Ortwin Wohlrab |
| title_fullStr | Minimal surfaces 1 Boundary value problems Ulrich Dierkes, Stefan Hildebrand, Albrecht Küster, Ortwin Wohlrab |
| title_full_unstemmed | Minimal surfaces 1 Boundary value problems Ulrich Dierkes, Stefan Hildebrand, Albrecht Küster, Ortwin Wohlrab |
| title_short | Minimal surfaces |
| title_sort | minimal surfaces boundary value problems |
| topic | Mathematics Systems theory Global differential geometry Mathematical optimization Differential Geometry Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Theoretical, Mathematical and Computational Physics Mathematik |
| topic_facet | Mathematics Systems theory Global differential geometry Mathematical optimization Differential Geometry Systems Theory, Control Calculus of Variations and Optimal Control; Optimization Theoretical, Mathematical and Computational Physics Mathematik |
| url | https://doi.org/10.1007/978-3-662-02791-2 |
| volume_link | (DE-604)BV046796768 (DE-604)BV049758308 |
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