Differential geometry of curves and surfaces:
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Englewood Cliffs, N.J.
Prentice-Hall
1976
|
Ausgabe: | 1. print. |
Schlagworte: | |
Online-Zugang: | Inhaltsverzeichnis |
Beschreibung: | Aus dem Portug. übers. - Hier auch unveränderte Nachdrucke desselben Jahres |
Beschreibung: | VIII, 503 S. graph. Darst. |
ISBN: | 0132125897 |
Internformat
MARC
LEADER | 00000nam a2200000zc 4500 | ||
---|---|---|---|
001 | BV021902617 | ||
003 | DE-604 | ||
005 | 20121016 | ||
007 | t | ||
008 | 920211s1976 d||| |||| 00||| eng d | ||
020 | |a 0132125897 |9 0-13-212589-7 | ||
035 | |a (OCoLC)299416343 | ||
035 | |a (OCoLC)605257503 | ||
035 | |a (DE-599)BVBBV021902617 | ||
040 | |a DE-604 |b ger | ||
041 | 0 | |a eng | |
049 | |a DE-706 |a DE-19 |a DE-20 |a DE-188 |a DE-703 |a DE-11 |a DE-739 |a DE-83 |a DE-29T | ||
050 | 0 | |a QA641 C3713 1976 | |
082 | 1 | |a 516.36 |2 22 | |
084 | |a SK 370 |0 (DE-625)143234: |2 rvk | ||
084 | |a 53-01 |2 msc | ||
100 | 1 | |a Carmo, Manfredo Perdigão do |d 1928-2018 |e Verfasser |0 (DE-588)1022011774 |4 aut | |
245 | 1 | 0 | |a Differential geometry of curves and surfaces |c Manfredo P. do Carmo |
250 | |a 1. print. | ||
264 | 1 | |a Englewood Cliffs, N.J. |b Prentice-Hall |c 1976 | |
300 | |a VIII, 503 S. |b graph. Darst. | ||
336 | |b txt |2 rdacontent | ||
337 | |b n |2 rdamedia | ||
338 | |b nc |2 rdacarrier | ||
500 | |a Aus dem Portug. übers. - Hier auch unveränderte Nachdrucke desselben Jahres | ||
650 | 4 | |a Courbes | |
650 | 4 | |a Géométrie différentielle | |
650 | 7 | |a Géométrie différentielle |2 ram | |
650 | 4 | |a Surfaces (Mathématiques) | |
650 | 7 | |a courbe |2 inriac | |
650 | 7 | |a géométrie différentielle |2 inriac | |
650 | 7 | |a surface |2 inriac | |
650 | 0 | 7 | |a Flächentheorie |0 (DE-588)4475211-8 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Fläche |0 (DE-588)4129864-0 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Differentialgeometrie |0 (DE-588)4012248-7 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Oberfläche |0 (DE-588)4042907-6 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Kurve |0 (DE-588)4033824-1 |2 gnd |9 rswk-swf |
655 | 7 | |8 1\p |0 (DE-588)4151278-9 |a Einführung |2 gnd-content | |
655 | 4 | |a Matériel didactique | |
689 | 0 | 0 | |a Differentialgeometrie |0 (DE-588)4012248-7 |D s |
689 | 0 | |5 DE-604 | |
689 | 1 | 0 | |a Differentialgeometrie |0 (DE-588)4012248-7 |D s |
689 | 1 | 1 | |a Oberfläche |0 (DE-588)4042907-6 |D s |
689 | 1 | 2 | |a Kurve |0 (DE-588)4033824-1 |D s |
689 | 1 | |8 2\p |5 DE-604 | |
689 | 2 | 0 | |a Differentialgeometrie |0 (DE-588)4012248-7 |D s |
689 | 2 | 1 | |a Fläche |0 (DE-588)4129864-0 |D s |
689 | 2 | |8 3\p |5 DE-604 | |
689 | 3 | 0 | |a Differentialgeometrie |0 (DE-588)4012248-7 |D s |
689 | 3 | 1 | |a Flächentheorie |0 (DE-588)4475211-8 |D s |
689 | 3 | |8 4\p |5 DE-604 | |
856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015117797&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
999 | |a oai:aleph.bib-bvb.de:BVB01-015117797 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 2\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 3\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk | |
883 | 1 | |8 4\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
_version_ | 1804135849456041984 |
---|---|
adam_text | Contents
Preface v
Some Remarks on Using this Book vii
1. Curves 1
1 1 Introduction 1
1 2 Parametrized Curves 2
1 3 Regulär Curves; Are Length 5
1 4 The Vector Product in R3 11
1 5 The Local Theory of Curves Parametrized by Are Length 16
1 6 The Local Canonical Form 27
1 7 Global Properties of Plane Curves 30
2. Regulär Surfaces 51
2 1 Introduction 5/
2 2 Regulär Surfaces; Inverse Images of Regulär Values 52
2 3 Change of Parameters; Differential Functions on Surfaces 69
2 4 The Tangent Plane; the Differential of a Map 83
2 5 The First Fundamental Form; Area 92
2 6 Orientation of Surfaces 102
2 7 A Characterizauon of Compact Orientable Surfaces 109
2 8 A Geometrie Definition of Area 114
Appendix: A Brief Review on Continuity
and Differentiability 118
in
iv Contents
3. The Geometry of the Gauss Map 134
3 1 Introduction 134
3 2 The Definition of the Gauss Map and
Its Fundamental Properties 135
3 3 The Gauss Map in Local Coordinates 153
3 4 Vector Fields 175
3 5 Ruled Surfaces and Minimal Surfaces 188
Appendix: Self Adjoint Linear Maps and Quadratic Forms 214
4. The Intrinsic Geometry of Surfaces 217
4 1 Introduction 217
4 2 Isometries; Conformal Maps 218
4 3 The Gauss Theorem and the Equations of Compatibility 231
4 4 Parallel Transport; Geodesics 238
4 5 The Gauss Bonnet Theorem and its Applications 264
4 6 The Exponential Map. Geodesic Polar Coordinates 283
4 7 Further Properties of Geodesics. Convex Neighborhoods 298
Appendix: Proofs of the Fundamental Theorems of
The Local Theory of Curves and Surfaces 309
5. Global Differential Geometry 315
5 1 Introduction 315
5 2 The Rigidity of the Sphere 317
5 3 Complete Surfaces. Theorem of Hopf Rinow 325
5 4 First and Second Variations of the Are Length;
Bonnet s Theorem 339
5 5 Jacobi Fields and Conjugate Points 357
5 6 Covering Spaces; the Theorems of Hadamard 371
5 7 Global Theorems for Curves; the Fary Milnor Theorem 380
5 8 Surfaces of Zero Gaussian Curvature 408
5 9 Jacobi s Theorems 415
5 10 Abstract Surfaces; Further Generalizations 425
5 11 Hilbert s Theorem 446
Appendix: Point Set Topology of Euclidean Spaces 456
Bibliography and Comments 471
Hints and Answers to Some Exercises 475
Index 497
|
adam_txt |
Contents
Preface v
Some Remarks on Using this Book vii
1. Curves 1
1 1 Introduction 1
1 2 Parametrized Curves 2
1 3 Regulär Curves; Are Length 5
1 4 The Vector Product in R3 11
1 5 The Local Theory of Curves Parametrized by Are Length 16
1 6 The Local Canonical Form 27
1 7 Global Properties of Plane Curves 30
2. Regulär Surfaces 51
2 1 Introduction 5/
2 2 Regulär Surfaces; Inverse Images of Regulär Values 52
2 3 Change of Parameters; Differential Functions on Surfaces 69
2 4 The Tangent Plane; the Differential of a Map 83
2 5 The First Fundamental Form; Area 92
2 6 Orientation of Surfaces 102
2 7 A Characterizauon of Compact Orientable Surfaces 109
2 8 A Geometrie Definition of Area 114
Appendix: A Brief Review on Continuity
and Differentiability 118
in
iv Contents
3. The Geometry of the Gauss Map 134
3 1 Introduction 134
3 2 The Definition of the Gauss Map and
Its Fundamental Properties 135
3 3 The Gauss Map in Local Coordinates 153
3 4 Vector Fields 175
3 5 Ruled Surfaces and Minimal Surfaces 188
Appendix: Self Adjoint Linear Maps and Quadratic Forms 214
4. The Intrinsic Geometry of Surfaces 217
4 1 Introduction 217
4 2 Isometries; Conformal Maps 218
4 3 The Gauss Theorem and the Equations of Compatibility 231
4 4 Parallel Transport; Geodesics 238
4 5 The Gauss Bonnet Theorem and its Applications 264
4 6 The Exponential Map. Geodesic Polar Coordinates 283
4 7 Further Properties of Geodesics. Convex Neighborhoods 298
Appendix: Proofs of the Fundamental Theorems of
The Local Theory of Curves and Surfaces 309
5. Global Differential Geometry 315
5 1 Introduction 315
5 2 The Rigidity of the Sphere 317
5 3 Complete Surfaces. Theorem of Hopf Rinow 325
5 4 First and Second Variations of the Are Length;
Bonnet's Theorem 339
5 5 Jacobi Fields and Conjugate Points 357
5 6 Covering Spaces; the Theorems of Hadamard 371
5 7 Global Theorems for Curves; the Fary Milnor Theorem 380
5 8 Surfaces of Zero Gaussian Curvature 408
5 9 Jacobi's Theorems 415
5 10 Abstract Surfaces; Further Generalizations 425
5 11 Hilbert's Theorem 446
Appendix: Point Set Topology of Euclidean Spaces 456
Bibliography and Comments 471
Hints and Answers to Some Exercises 475
Index 497 |
any_adam_object | 1 |
any_adam_object_boolean | 1 |
author | Carmo, Manfredo Perdigão do 1928-2018 |
author_GND | (DE-588)1022011774 |
author_facet | Carmo, Manfredo Perdigão do 1928-2018 |
author_role | aut |
author_sort | Carmo, Manfredo Perdigão do 1928-2018 |
author_variant | m p d c mpd mpdc |
building | Verbundindex |
bvnumber | BV021902617 |
callnumber-first | Q - Science |
callnumber-label | QA641 C3713 1976 |
callnumber-raw | QA641 C3713 1976 |
callnumber-search | QA641 C3713 1976 |
callnumber-sort | QA 3641 C3713 41976 |
callnumber-subject | QA - Mathematics |
classification_rvk | SK 370 |
ctrlnum | (OCoLC)299416343 (OCoLC)605257503 (DE-599)BVBBV021902617 |
dewey-full | 516.36 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.36 |
dewey-search | 516.36 |
dewey-sort | 3516.36 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
discipline_str_mv | Mathematik |
edition | 1. print. |
format | Book |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02938nam a2200709zc 4500</leader><controlfield tag="001">BV021902617</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20121016 </controlfield><controlfield tag="007">t</controlfield><controlfield tag="008">920211s1976 d||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0132125897</subfield><subfield code="9">0-13-212589-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)299416343</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)605257503</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV021902617</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-706</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-188</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-11</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-83</subfield><subfield code="a">DE-29T</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA641 C3713 1976</subfield></datafield><datafield tag="082" ind1="1" ind2=" "><subfield code="a">516.36</subfield><subfield code="2">22</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SK 370</subfield><subfield code="0">(DE-625)143234:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">53-01</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Carmo, Manfredo Perdigão do</subfield><subfield code="d">1928-2018</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)1022011774</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Differential geometry of curves and surfaces</subfield><subfield code="c">Manfredo P. do Carmo</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">1. print.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Englewood Cliffs, N.J.</subfield><subfield code="b">Prentice-Hall</subfield><subfield code="c">1976</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 503 S.</subfield><subfield code="b">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">Aus dem Portug. übers. - Hier auch unveränderte Nachdrucke desselben Jahres</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Courbes</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Géométrie différentielle</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Géométrie différentielle</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Surfaces (Mathématiques)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">courbe</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">géométrie différentielle</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">surface</subfield><subfield code="2">inriac</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Flächentheorie</subfield><subfield code="0">(DE-588)4475211-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Fläche</subfield><subfield code="0">(DE-588)4129864-0</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Oberfläche</subfield><subfield code="0">(DE-588)4042907-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Kurve</subfield><subfield code="0">(DE-588)4033824-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4151278-9</subfield><subfield code="a">Einführung</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="655" ind1=" " ind2="4"><subfield code="a">Matériel didactique</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="1" ind2="0"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="1"><subfield code="a">Oberfläche</subfield><subfield code="0">(DE-588)4042907-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2="2"><subfield code="a">Kurve</subfield><subfield code="0">(DE-588)4033824-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="2" ind2="0"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2="1"><subfield code="a">Fläche</subfield><subfield code="0">(DE-588)4129864-0</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="2" ind2=" "><subfield code="8">3\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="689" ind1="3" ind2="0"><subfield code="a">Differentialgeometrie</subfield><subfield code="0">(DE-588)4012248-7</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2="1"><subfield code="a">Flächentheorie</subfield><subfield code="0">(DE-588)4475211-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="3" ind2=" "><subfield code="8">4\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</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=015117797&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:BVB01-015117797</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">2\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">3\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">4\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
genre | 1\p (DE-588)4151278-9 Einführung gnd-content Matériel didactique |
genre_facet | Einführung Matériel didactique |
id | DE-604.BV021902617 |
illustrated | Illustrated |
index_date | 2024-07-02T16:04:45Z |
indexdate | 2024-07-09T20:47:02Z |
institution | BVB |
isbn | 0132125897 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015117797 |
oclc_num | 299416343 605257503 |
open_access_boolean | |
owner | DE-706 DE-19 DE-BY-UBM DE-20 DE-188 DE-703 DE-11 DE-739 DE-83 DE-29T |
owner_facet | DE-706 DE-19 DE-BY-UBM DE-20 DE-188 DE-703 DE-11 DE-739 DE-83 DE-29T |
physical | VIII, 503 S. graph. Darst. |
publishDate | 1976 |
publishDateSearch | 1976 |
publishDateSort | 1976 |
publisher | Prentice-Hall |
record_format | marc |
spelling | Carmo, Manfredo Perdigão do 1928-2018 Verfasser (DE-588)1022011774 aut Differential geometry of curves and surfaces Manfredo P. do Carmo 1. print. Englewood Cliffs, N.J. Prentice-Hall 1976 VIII, 503 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Aus dem Portug. übers. - Hier auch unveränderte Nachdrucke desselben Jahres Courbes Géométrie différentielle Géométrie différentielle ram Surfaces (Mathématiques) courbe inriac géométrie différentielle inriac surface inriac Flächentheorie (DE-588)4475211-8 gnd rswk-swf Fläche (DE-588)4129864-0 gnd rswk-swf Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Oberfläche (DE-588)4042907-6 gnd rswk-swf Kurve (DE-588)4033824-1 gnd rswk-swf 1\p (DE-588)4151278-9 Einführung gnd-content Matériel didactique Differentialgeometrie (DE-588)4012248-7 s DE-604 Oberfläche (DE-588)4042907-6 s Kurve (DE-588)4033824-1 s 2\p DE-604 Fläche (DE-588)4129864-0 s 3\p DE-604 Flächentheorie (DE-588)4475211-8 s 4\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015117797&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Carmo, Manfredo Perdigão do 1928-2018 Differential geometry of curves and surfaces Courbes Géométrie différentielle Géométrie différentielle ram Surfaces (Mathématiques) courbe inriac géométrie différentielle inriac surface inriac Flächentheorie (DE-588)4475211-8 gnd Fläche (DE-588)4129864-0 gnd Differentialgeometrie (DE-588)4012248-7 gnd Oberfläche (DE-588)4042907-6 gnd Kurve (DE-588)4033824-1 gnd |
subject_GND | (DE-588)4475211-8 (DE-588)4129864-0 (DE-588)4012248-7 (DE-588)4042907-6 (DE-588)4033824-1 (DE-588)4151278-9 |
title | Differential geometry of curves and surfaces |
title_auth | Differential geometry of curves and surfaces |
title_exact_search | Differential geometry of curves and surfaces |
title_exact_search_txtP | Differential geometry of curves and surfaces |
title_full | Differential geometry of curves and surfaces Manfredo P. do Carmo |
title_fullStr | Differential geometry of curves and surfaces Manfredo P. do Carmo |
title_full_unstemmed | Differential geometry of curves and surfaces Manfredo P. do Carmo |
title_short | Differential geometry of curves and surfaces |
title_sort | differential geometry of curves and surfaces |
topic | Courbes Géométrie différentielle Géométrie différentielle ram Surfaces (Mathématiques) courbe inriac géométrie différentielle inriac surface inriac Flächentheorie (DE-588)4475211-8 gnd Fläche (DE-588)4129864-0 gnd Differentialgeometrie (DE-588)4012248-7 gnd Oberfläche (DE-588)4042907-6 gnd Kurve (DE-588)4033824-1 gnd |
topic_facet | Courbes Géométrie différentielle Surfaces (Mathématiques) courbe géométrie différentielle surface Flächentheorie Fläche Differentialgeometrie Oberfläche Kurve Einführung Matériel didactique |
url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015117797&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
work_keys_str_mv | AT carmomanfredoperdigaodo differentialgeometryofcurvesandsurfaces |