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Convex Surfaces (Dover Books on Mathematics) - Softcover

Buch 30 von 303: Dover Books on Mathematics

Busemann, Herbert

 
9780486462431: Convex Surfaces (Dover Books on Mathematics)
Softcover
ISBN 10: 0486462439 ISBN 13: 9780486462431
Verlag: DOVER PUBN INC, 2008

Inhaltsangabe

In this self-contained geometry text, the author describes the main results of convex surface theory, providing all definitions and precise theorems. The first half focuses on extrinsic geometry and applications of the Brunn-Minkowski theory. The second part examines intrinsic geometry and the realization of intrinsic metrics.
Starting with a brief overview of notations and terminology, the text proceeds to convex curves, the theorems of Meusnier and Euler, extrinsic Gauss curvature, and the influence of the curvature on the local shape of a surface. A chapter on the Brunn-Minkowski theory and its applications is followed by examinations of intrinsic metrics, the metrics of convex hypersurfaces, geodesics, angles, triangulations, and the Gauss-Bonnet theorem. The final chapter explores the rigidity of convex polyhedra, the realization of polyhedral metrics, Weyl's problem, local realization of metrics with non-negative curvature, open and closed surfaces, and smoothness of realizations.

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Verlag
DOVER PUBN INC
Erscheinungsdatum
2008
Sprache
Englisch
ISBN 10 
0486462439
ISBN 13 
9780486462431
Einband
Taschenbuch
Anzahl der Seiten
196
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
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