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Convex Surfaces
Our Price:$12.95
Availability:In Stock
Environment:Made in USA
Author/Editor: Herbert Busemann
ISBN 10:0486462439
Product Info:Details, Table of Contents
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 realiz...  read more
 


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Product Description:

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.
Reprint of the Interscience Publishers, Inc., New York, 1958 edition.
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Product Details:

ISBN 10: 0486462439
ISBN 13: 9780486462431
Author/Editor: Herbert Busemann
Format: Book
Page Count: 208
Dimensions: 5 3/8 x 8 1/2
Publication date: February 2008
Table of Contents: Click here to view the Table of Contents

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