Geometric measure theory: a beginner's guide
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
Elsevier
2009
|
| Ausgabe: | 4. ed. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | VIII, 248 S. Ill., graph. Darst. |
| ISBN: | 9780123744449 |
Internformat
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| 245 | 1 | 0 | |a Geometric measure theory |b a beginner's guide |c Frank Morgan |
| 250 | |a 4. ed. | ||
| 264 | 1 | |a Amsterdam [u.a.] |b Elsevier |c 2009 | |
| 300 | |a VIII, 248 S. |b Ill., graph. Darst. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
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| 650 | 4 | |a Geometric measure theory | |
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Datensatz im Suchindex
| _version_ | 1804138111125422080 |
|---|---|
| adam_text | Contents
Preface
vii
1
Geometrie
Measure Theory
Ί
2
Measures
9
3
Lipschitz Functions and Rectifiable Sets
23
4
Normal and Rectifiable Currents
37
5
The Compactness Theorem and the Existence
of Area-Minimizing Surfaces
59
6
Examples of Area-Minimizing Surfaces
67
7
The Approximation Theorem
77
8
Survey of Regularity Results
81
9
Monotonicity
and Oriented Tangent Cones
87
10
The Regularity of Area-Minimizing
Ну
persurf
aces
95
11
Flat Chains Modulo v, Varifolds, and
(Μ, ε,
^-Minimal Sets
103
12
Miscellaneous Useful Results
109
vi
Contents
13
Soap Bubble
Clusters
117
14
Proof of Double Bubble Conjecture
139
15
The Hexagonal Honeycomb and Kelvin
Conjectures
155
16
Immiscible Fluids and Crystals
169
17
Isoperimetric Theorems in General
Codimension
175
18
Manifolds with Density and Perelman s Proof
of the
Poincaré
Conjecture
179
19
Double Bubbles in Spheres, Gauss Space,
and Tori
193
Solutions to Exercises
201
Bibliography
223
Index of Symbols
241
Name Index
243
Subject Index
245
|
| adam_txt |
Contents
Preface
vii
1
Geometrie
Measure Theory
Ί
2
Measures
9
3
Lipschitz Functions and Rectifiable Sets
23
4
Normal and Rectifiable Currents
37
5
The Compactness Theorem and the Existence
of Area-Minimizing Surfaces
59
6
Examples of Area-Minimizing Surfaces
67
7
The Approximation Theorem
77
8
Survey of Regularity Results
81
9
Monotonicity
and Oriented Tangent Cones
87
10
The Regularity of Area-Minimizing
Ну
persurf
aces
95
11
Flat Chains Modulo v, Varifolds, and
(Μ, ε,
^-Minimal Sets
103
12
Miscellaneous Useful Results
109
vi
Contents
13
Soap Bubble
Clusters
117
14
Proof of Double Bubble Conjecture
139
15
The Hexagonal Honeycomb and Kelvin
Conjectures
155
16
Immiscible Fluids and Crystals
169
17
Isoperimetric Theorems in General
Codimension
175
18
Manifolds with Density and Perelman's Proof
of the
Poincaré
Conjecture
179
19
Double Bubbles in Spheres, Gauss Space,
and Tori
193
Solutions to Exercises
201
Bibliography
223
Index of Symbols
241
Name Index
243
Subject Index
245 |
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| illustrated | Illustrated |
| index_date | 2024-07-02T22:24:10Z |
| indexdate | 2024-07-09T21:22:59Z |
| institution | BVB |
| isbn | 9780123744449 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-016796930 |
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| physical | VIII, 248 S. Ill., graph. Darst. |
| publishDate | 2009 |
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| spelling | Morgan, Frank Verfasser aut Geometric measure theory a beginner's guide Frank Morgan 4. ed. Amsterdam [u.a.] Elsevier 2009 VIII, 248 S. Ill., graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Geometric measure theory Geometrische Maßtheorie (DE-588)4125258-5 gnd rswk-swf Geometrische Maßtheorie (DE-588)4125258-5 s DE-604 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016796930&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Morgan, Frank Geometric measure theory a beginner's guide Geometric measure theory Geometrische Maßtheorie (DE-588)4125258-5 gnd |
| subject_GND | (DE-588)4125258-5 |
| title | Geometric measure theory a beginner's guide |
| title_auth | Geometric measure theory a beginner's guide |
| title_exact_search | Geometric measure theory a beginner's guide |
| title_exact_search_txtP | Geometric measure theory a beginner's guide |
| title_full | Geometric measure theory a beginner's guide Frank Morgan |
| title_fullStr | Geometric measure theory a beginner's guide Frank Morgan |
| title_full_unstemmed | Geometric measure theory a beginner's guide Frank Morgan |
| title_short | Geometric measure theory |
| title_sort | geometric measure theory a beginner s guide |
| title_sub | a beginner's guide |
| topic | Geometric measure theory Geometrische Maßtheorie (DE-588)4125258-5 gnd |
| topic_facet | Geometric measure theory Geometrische Maßtheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016796930&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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