Holdings: Affine geometry of convex bodies

Affine geometry of convex bodies:

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Bibliographic Details
Main Author:	Leichtweiß, Kurt 1927-2013 (Author)
Format:	Book
Language:	German
Published:	Heidelberg [u.a.] Barth 1998
Subjects:	Convex bodies Geometry, Affine Geometry, Differential Äquiaffine Geometrie Konvexer Körper Affine Geometrie
Online Access:	Inhaltsverzeichnis
Physical Description:	X, 310 S. graph. Darst.
ISBN:	3335005147

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MARC


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Record in the Search Index

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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
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author	Leichtweiß, Kurt 1927-2013
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author_sort	Leichtweiß, Kurt 1927-2013
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dewey-sort	3516 14
dewey-tens	510 - Mathematics
discipline	Mathematik
format	Book
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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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owner	DE-703 DE-20 DE-898 DE-BY-UBR DE-355 DE-BY-UBR DE-634 DE-83 DE-11
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physical	X, 310 S. graph. Darst.
publishDate	1998
publishDateSearch	1998
publishDateSort	1998
publisher	Barth
record_format	marc
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

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