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eBook Convex Surfaces (Dover Books on Mathematics) ePub

eBook Convex Surfaces (Dover Books on Mathematics) ePub

by Herbert Busemann

  • ISBN: 0486462439
  • Category: Mathematics
  • Subcategory: Math Science
  • Author: Herbert Busemann
  • Language: English
  • Publisher: Dover Publications; 2008 edition (February 4, 2008)
  • Pages: 208
  • ePub book: 1192 kb
  • Fb2 book: 1866 kb
  • Other: rtf doc txt lrf
  • Rating: 4.4
  • Votes: 221


Convex Surfaces book.

Convex Surfaces book.

Convex Surfaces (Dover B. .has been added to your Cart. Only 6 left in stock (more on the way)

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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.