Affine geometry of convex bodies:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | German |
| Veröffentlicht: |
Heidelberg [u.a.]
Barth
1998
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| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 310 S. graph. Darst. |
| ISBN: | 3335005147 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804126452045578240 |
|---|---|
| adam_text | AFFINE GEOMETRY OF CONVEX BODIES BY KURT LEICHTWEIB WITH 10 FIGURES
JOHANN AMBROSIUS BARTH VERLAG HEIDELBERG * LEIPZIG CONTENTS PREFACE VII
CONVENTIONS AND NOTATION IX 1 FOUNDATIONS OF THE EQUIAFFINE GEOMETRY 1.1
THE GENERAL AFFINE GROUP WITH IMPORTANT SUBGROUPS 1 1.2 BASIC FACTS
ABOUT CONVEX BODIES 8 1.3 EQUIAFFINE DIFFERENTIAL GEOMETRY OF PLANE
CURVES 45 1.4 EQUIAFFINE DIFFERENTIAL GEOMETRY OF HYPERSURFACES 53 2
GEOMETRICAL MEANING OF EQUIAFFINE INVARIANTS FOR CONVEX BODIES 2.5
AFFINE RECTIFICATION OF CONVEX CURVES 80 2.6 AFFINE SURFACE AREA
ACCORDING TO C. PETTY AND E. LUTWAK 89 2.7 AFFINE SURFACE AREA ACCORDING
TO K. LEICHTWEIB AND C. SCHIITT-E. WERNER 105 2.8 EQUIVALENCE OF THE
DIFFERENT DEFINITIONS OF THE AFFINE SURFACE AREA ... 128 2.9 PROPERTIES
OF THE AFFINE SURFACE AREA 150 2.10 OTHER TOPICS, AFFINELY ASSOCIATED TO
CONVEX BODIES 161 2.11 SOME APPLICATIONS OF THE PRECEDING SECTIONS 182 3
INEQUALITIES 3.12 THE AFFINE ISOPERIMETRIC AND THE BLASCHKE-SANTALO
INEQUALITY 197 3.13 INEQUALITIES FOR DIFFERENCE BODY, AFFINE DIAMETER
AND RANDOM POLYTOPES OF A CONVEX BODY 215 3.14 INEQUALITIES FOR CENTROID
BODY, PROJECTION BODY, INTERSECTION BODY AND OTHERS 235 4 AFFINE
CHARACTERIZATION OF SPECIAL CONVEX BODIES 4.15 FURTHER CHARACTERIZATION
OF ELLIPSOIDS 253 4.16 FURTHER CHARACTERIZATION OF SIMPLICES AND OTHER
SPECIAL CONVEX BODIES 262 5 EQUIAFFINE GEOMETRY OF SMOOTH CONVEX BODIES
5.17 AFFINE CONGRUENCE THEOREMS 269 5.18 AFFINE EVOLUTIONS 285
REFERENCES 293 INDEX 303
|
| any_adam_object | 1 |
| author | Leichtweiß, Kurt 1927-2013 |
| author_GND | (DE-588)117714941 |
| author_facet | Leichtweiß, Kurt 1927-2013 |
| author_role | aut |
| author_sort | Leichtweiß, Kurt 1927-2013 |
| author_variant | k l kl |
| building | Verbundindex |
| bvnumber | BV011864873 |
| callnumber-first | Q - Science |
| callnumber-label | QA477 |
| callnumber-raw | QA477 |
| callnumber-search | QA477 |
| callnumber-sort | QA 3477 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 380 |
| ctrlnum | (OCoLC)40283876 (DE-599)BVBBV011864873 |
| dewey-full | 516/.4 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516/.4 |
| dewey-search | 516/.4 |
| dewey-sort | 3516 14 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV011864873 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:17:40Z |
| institution | BVB |
| isbn | 3335005147 |
| language | German |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-008015954 |
| oclc_num | 40283876 |
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| physical | X, 310 S. graph. Darst. |
| publishDate | 1998 |
| publishDateSearch | 1998 |
| publishDateSort | 1998 |
| publisher | Barth |
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| spelling | Leichtweiß, Kurt 1927-2013 Verfasser (DE-588)117714941 aut Affine geometry of convex bodies by Kurt Leichtweiß Heidelberg [u.a.] Barth 1998 X, 310 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Convex bodies Geometry, Affine Geometry, Differential Äquiaffine Geometrie (DE-588)4509152-3 gnd rswk-swf Konvexer Körper (DE-588)4165214-9 gnd rswk-swf Affine Geometrie (DE-588)4141566-8 gnd rswk-swf Affine Geometrie (DE-588)4141566-8 s Konvexer Körper (DE-588)4165214-9 s DE-604 Äquiaffine Geometrie (DE-588)4509152-3 s GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008015954&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Leichtweiß, Kurt 1927-2013 Affine geometry of convex bodies Convex bodies Geometry, Affine Geometry, Differential Äquiaffine Geometrie (DE-588)4509152-3 gnd Konvexer Körper (DE-588)4165214-9 gnd Affine Geometrie (DE-588)4141566-8 gnd |
| subject_GND | (DE-588)4509152-3 (DE-588)4165214-9 (DE-588)4141566-8 |
| title | Affine geometry of convex bodies |
| title_auth | Affine geometry of convex bodies |
| title_exact_search | Affine geometry of convex bodies |
| title_full | Affine geometry of convex bodies by Kurt Leichtweiß |
| title_fullStr | Affine geometry of convex bodies by Kurt Leichtweiß |
| title_full_unstemmed | Affine geometry of convex bodies by Kurt Leichtweiß |
| title_short | Affine geometry of convex bodies |
| title_sort | affine geometry of convex bodies |
| topic | Convex bodies Geometry, Affine Geometry, Differential Äquiaffine Geometrie (DE-588)4509152-3 gnd Konvexer Körper (DE-588)4165214-9 gnd Affine Geometrie (DE-588)4141566-8 gnd |
| topic_facet | Convex bodies Geometry, Affine Geometry, Differential Äquiaffine Geometrie Konvexer Körper Affine Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008015954&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| work_keys_str_mv | AT leichtweißkurt affinegeometryofconvexbodies |