Name: convex surfaces (en Inglés)
Price: 26.80 USD
Availability: InStock
Author: Busemann, Herbert
ISBN: 9780486462431

Formato

Libro Físico

Autor

Herbert Busemann

Editorial

Dover Publications

Idioma

Inglés

N° páginas

196

Encuadernación

Tapa Blanda

Dimensiones

21.4 x 14.9 x 1.1 cm

Peso

0.21 kg.

ISBN

0486462439

ISBN13

9780486462431

Categorías

Geometría

convex surfaces (en Inglés)

Herbert Busemann (Autor) · Dover Publications · Tapa Blanda

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Reseña del libro "convex surfaces (en Inglés)"

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.