Elements of the geometry and topology of minimal surfaces in three-dimensional space:
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English Russian |
| Published: |
Providence, RI
American Math. Society
1991
|
| Series: | Translations of mathematical monographs
93 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Aus d. Russ. übers. |
| Physical Description: | VII, 142 S. Ill. |
| ISBN: | 0821845527 |
Staff View
MARC
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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 |
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Record in the Search Index
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| adam_text | Contents
Introduction vii
CHAPTER I. Physical Prerequisites 1
§1. Interfaces between two media 1
§2. The principle of economy in Nature 6
CHAPTER 2. Classical Minimal Surfaces in M3 21
§1. Catenoids 21
§2. The helicoid 32
§3. The minimal surface equation. Bernstein s problem. The
Scherk surface 39
§4. Periodic minimal surfaces 45
§5. Complete minimal surfaces 49
CHAPTER 3. General Properties of Minimal Surfaces in R3 53
§1. Isothermal coordinates 53
§2. Harmonicity and conformality 58
§3. The Gaussian mapping and the Weierstrass representation 64
§4. The global Weierstrass representation 74
§5. Total curvature and complete minimal surfaces 81
§6. The geometry of complete minimal surfaces of finite total
curvature 90
§7. Indices of two dimensional minimal surfaces in E3 102
APPENDIX. Steiner Problem for Convex Boundaries 115
Bibliography 135
Subject Index 141
V
|
| any_adam_object | 1 |
| author | Fomenko, Anatolij Timofeevič 1945- Tužilin, Aleksej A. |
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| author_sort | Fomenko, Anatolij Timofeevič 1945- |
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| ctrlnum | (OCoLC)23939787 (DE-599)BVBBV004706383 |
| dewey-full | 516.3/62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/62 |
| dewey-search | 516.3/62 |
| dewey-sort | 3516.3 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV004706383 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T16:16:25Z |
| institution | BVB |
| isbn | 0821845527 |
| language | English Russian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002891853 |
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| physical | VII, 142 S. Ill. |
| publishDate | 1991 |
| publishDateSearch | 1991 |
| publishDateSort | 1991 |
| publisher | American Math. Society |
| record_format | marc |
| 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 Providence, RI American Math. Society 1991 VII, 142 S. Ill. txt rdacontent n rdamedia nc rdacarrier Translations of mathematical monographs 93 Aus d. Russ. übers. Surfaces minimales Surfaces minimales ram Minimal surfaces Minimalfläche (DE-588)4127814-8 gnd rswk-swf Dreidimensionaler Raum (DE-588)4220292-9 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 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002891853&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 Surfaces minimales Surfaces minimales ram Minimal surfaces Minimalfläche (DE-588)4127814-8 gnd Dreidimensionaler Raum (DE-588)4220292-9 gnd |
| subject_GND | (DE-588)4127814-8 (DE-588)4220292-9 |
| 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 | Surfaces minimales Surfaces minimales ram Minimal surfaces Minimalfläche (DE-588)4127814-8 gnd Dreidimensionaler Raum (DE-588)4220292-9 gnd |
| topic_facet | Surfaces minimales Minimal surfaces Minimalfläche Dreidimensionaler Raum |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002891853&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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