Geometric measure theory: a beginner's guide
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Amsterdam [u.a.]
Elsevier
2009
|
| Edition: | 4. ed. |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Hier auch später erschienene, unveränderte Nachdrucke |
| Physical Description: | VIII, 248 S. Ill., graph. Darst. |
| ISBN: | 9780123744449 |
Staff View
MARC
| LEADER | 00000nam a2200000 c 4500 | ||
|---|---|---|---|
| 001 | BV035129402 | ||
| 003 | DE-604 | ||
| 005 | 20131211 | ||
| 007 | t | ||
| 008 | 081030s2009 ad|| |||| 00||| eng d | ||
| 020 | |a 9780123744449 |9 978-0-12-374444-9 | ||
| 035 | |a (OCoLC)228364708 | ||
| 035 | |a (DE-599)BVBBV035129402 | ||
| 040 | |a DE-604 |b ger |e rakwb | ||
| 041 | 0 | |a eng | |
| 049 | |a DE-20 |a DE-355 |a DE-19 |a DE-11 |a DE-29T | ||
| 050 | 0 | |a QA312 | |
| 082 | 0 | |a 515/.42 |2 21 | |
| 084 | |a SK 430 |0 (DE-625)143239: |2 rvk | ||
| 100 | 1 | |a Morgan, Frank |e Verfasser |4 aut | |
| 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 | ||
| 500 | |a Hier auch später erschienene, unveränderte Nachdrucke | ||
| 650 | 4 | |a Geometric measure theory | |
| 650 | 0 | 7 | |a Geometrische Maßtheorie |0 (DE-588)4125258-5 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Geometrische Maßtheorie |0 (DE-588)4125258-5 |D s |
| 689 | 0 | |5 DE-604 | |
| 856 | 4 | 2 | |m Digitalisierung UB Regensburg |q application/pdf |u 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 |3 Inhaltsverzeichnis |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-016796930 | ||
Record in the Search Index
| _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 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Morgan, Frank |
| author_facet | Morgan, Frank |
| author_role | aut |
| author_sort | Morgan, Frank |
| author_variant | f m fm |
| building | Verbundindex |
| bvnumber | BV035129402 |
| callnumber-first | Q - Science |
| callnumber-label | QA312 |
| callnumber-raw | QA312 |
| callnumber-search | QA312 |
| callnumber-sort | QA 3312 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 430 |
| ctrlnum | (OCoLC)228364708 (DE-599)BVBBV035129402 |
| dewey-full | 515/.42 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.42 |
| dewey-search | 515/.42 |
| dewey-sort | 3515 242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 4. ed. |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01405nam a2200373 c 4500</leader><controlfield tag="001">BV035129402</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20131211 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">081030s2009 ad|| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780123744449</subfield><subfield code="9">978-0-12-374444-9</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)228364708</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV035129402</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-20</subfield><subfield code="a">DE-355</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-29T</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA312</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">515/.42</subfield><subfield code="2">21</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 430</subfield><subfield code="0">(DE-625)143239:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Morgan, Frank</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Geometric measure theory</subfield><subfield code="b">a beginner's guide</subfield><subfield code="c">Frank Morgan</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">4. ed.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Amsterdam [u.a.]</subfield><subfield code="b">Elsevier</subfield><subfield code="c">2009</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 248 S.</subfield><subfield code="b">Ill., graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Hier auch später erschienene, unveränderte Nachdrucke</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometric measure theory</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Geometrische Maßtheorie</subfield><subfield code="0">(DE-588)4125258-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Geometrische Maßtheorie</subfield><subfield code="0">(DE-588)4125258-5</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Digitalisierung UB Regensburg</subfield><subfield code="q">application/pdf</subfield><subfield code="u">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</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-016796930</subfield></datafield></record></collection> |
| id | DE-604.BV035129402 |
| 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 |
| oclc_num | 228364708 |
| open_access_boolean | |
| owner | DE-20 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-29T |
| owner_facet | DE-20 DE-355 DE-BY-UBR DE-19 DE-BY-UBM DE-11 DE-29T |
| physical | VIII, 248 S. Ill., graph. Darst. |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Elsevier |
| record_format | marc |
| 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 |
| work_keys_str_mv | AT morganfrank geometricmeasuretheoryabeginnersguide |