A.D. Alexandrov (eBook, PDF)

Selected Works Part II: Intrinsic Geometry of Convex Surfaces
Redaktion: Kutateladze, S. S.

• Format: PDF

Produktbeschreibung

A.D. Alexandrov is considered by many to be the father of intrinsic geometry, second only to Gauss in surface theory. That appraisal stems primarily from this masterpiece--now available in its entirely for the first time since its 1948 publication in Russian. Alexandrov's treatise begins with an outline of the basic concepts, definitions, and r

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 444
• Erscheinungstermin: 25. Juli 2005
• Englisch
• ISBN-13: 9781134429073
• Artikelnr.: 57906183

Autorenporträt

S.S. Kutateladze

Inhaltsangabe

Basic Concepts and Results. General Propositions about the Intrinsic
Metric. Characteristic Properties of the Intrinsic Metric. Angle.
Curvature. Existence of a Convex Polyhedron with a Given Metric. Existence
of a Closed Convex Surface with a Given Metric. Other Existence Theorems.
Curves on Convex Surfaces. Area. The Role of the Specific Curvature.
Generalization. Appendix. Basic Facts of Convex Bodies.