Elements of the geometry and topology of minimal surfaces in three-dimensional space:
Gespeichert in:
Hauptverfasser: | , |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Providence, RI
American Math. Society
2005
|
Ausgabe: | Repr. |
Schriftenreihe: | Translations of mathematical monographs
93 |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Aus d. Russ. übers. |
Beschreibung: | VII, 142 S. Ill. |
ISBN: | 0821837915 0821845527 |
Internformat
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245 | 1 | 0 | |a Elements of the geometry and topology of minimal surfaces in three-dimensional space |c A. T. Fomenko ; A. A. Tuzhilin |
250 | |a Repr. | ||
264 | 1 | |a Providence, RI |b American Math. Society |c 2005 | |
300 | |a VII, 142 S. |b Ill. | ||
336 | |b txt |2 rdacontent | ||
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Datensatz im Suchindex
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adam_text | Contents
Introduction
CHAPTER I. Physical Prerequisites
§ 1.
Interfaces between two media
§2.
The principle of economy in Nature
CHAPTER
2.
Classical Minimal Surfaces in R3
§1.
Catenoids
§2.
The helicoid
§3.
The minimal surface equation. Bernstein s problem. The
Scherk surface
§4.
Periodic minimal surfaces
§5.
Complete minimal surfaces
CHAPTER
3.
General Properties of Minimal Surfaces in
Ж3
§1.
Isothermal coordinates
§2.
Harmonicity
and conformality
§3.
The Gaussian mapping and the
Weierstrass
representation
§4.
The global
Weierstrass
representation
§5.
Total curvature and complete minimal surfaces
§6.
The geometry of complete minimal surfaces of finite total
curvature
§7.
Indices of two-dimensional minimal surfaces in
Ж
APPENDIX.
Steiner
Problem for Convex Boundaries
Bibliography
Subject Index
Errata
|
any_adam_object | 1 |
author | Fomenko, Anatolij Timofeevič 1945- Tužilin, Aleksej A. |
author_GND | (DE-588)119092689 |
author_facet | Fomenko, Anatolij Timofeevič 1945- Tužilin, Aleksej A. |
author_role | aut aut |
author_sort | Fomenko, Anatolij Timofeevič 1945- |
author_variant | a t f at atf a a t aa aat |
building | Verbundindex |
bvnumber | BV036508216 |
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ctrlnum | (OCoLC)255955543 (DE-599)BVBBV036508216 |
dewey-full | 516.3'62 516.3/62 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.3'62 516.3/62 |
dewey-search | 516.3'62 516.3/62 |
dewey-sort | 3516.3 262 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
edition | Repr. |
format | Book |
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id | DE-604.BV036508216 |
illustrated | Illustrated |
indexdate | 2024-07-09T22:41:53Z |
institution | BVB |
isbn | 0821837915 0821845527 |
language | English |
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physical | VII, 142 S. Ill. |
publishDate | 2005 |
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publisher | American Math. Society |
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series | Translations of mathematical monographs |
series2 | Translations of mathematical monographs |
spelling | Fomenko, Anatolij Timofeevič 1945- Verfasser (DE-588)119092689 aut Ėlementy geometrii i topologii minimal'nych poverchnostej v trechmernom prostranstve Elements of the geometry and topology of minimal surfaces in three-dimensional space A. T. Fomenko ; A. A. Tuzhilin Repr. Providence, RI American Math. Society 2005 VII, 142 S. Ill. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 93 Aus d. Russ. übers. Dreidimensionaler Raum (DE-588)4220292-9 gnd rswk-swf Minimalfläche (DE-588)4127814-8 gnd rswk-swf Minimalfläche (DE-588)4127814-8 s DE-604 Dreidimensionaler Raum (DE-588)4220292-9 s Tužilin, Aleksej A. Verfasser aut Translations of mathematical monographs 93 (DE-604)BV000002394 93 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020430488&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Fomenko, Anatolij Timofeevič 1945- Tužilin, Aleksej A. Elements of the geometry and topology of minimal surfaces in three-dimensional space Translations of mathematical monographs Dreidimensionaler Raum (DE-588)4220292-9 gnd Minimalfläche (DE-588)4127814-8 gnd |
subject_GND | (DE-588)4220292-9 (DE-588)4127814-8 |
title | Elements of the geometry and topology of minimal surfaces in three-dimensional space |
title_alt | Ėlementy geometrii i topologii minimal'nych poverchnostej v trechmernom prostranstve |
title_auth | Elements of the geometry and topology of minimal surfaces in three-dimensional space |
title_exact_search | Elements of the geometry and topology of minimal surfaces in three-dimensional space |
title_full | Elements of the geometry and topology of minimal surfaces in three-dimensional space A. T. Fomenko ; A. A. Tuzhilin |
title_fullStr | Elements of the geometry and topology of minimal surfaces in three-dimensional space A. T. Fomenko ; A. A. Tuzhilin |
title_full_unstemmed | Elements of the geometry and topology of minimal surfaces in three-dimensional space A. T. Fomenko ; A. A. Tuzhilin |
title_short | Elements of the geometry and topology of minimal surfaces in three-dimensional space |
title_sort | elements of the geometry and topology of minimal surfaces in three dimensional space |
topic | Dreidimensionaler Raum (DE-588)4220292-9 gnd Minimalfläche (DE-588)4127814-8 gnd |
topic_facet | Dreidimensionaler Raum Minimalfläche |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=020430488&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
volume_link | (DE-604)BV000002394 |
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