A.D. Alexandrov: Selected Works Part II: Intrinsic Geometry of Convex Surfaces

by S.S. Kutateladze (Editor)

Overview

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

Product Details

ISBN-13:	9781134429066
Publisher:	CRC Press
Publication date:	07/25/2005
Series:	Classics of Soviet Mathematics
Sold by:	Barnes & Noble
Format:	eBook
Pages:	444
File size:	1 MB

About the Author

S.S. Kutateladze

Table of Contents

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.

Editorial Reviews

This classic is quite readable and opens a deeper understanding of this field also through self-study without any special prerequisites …”
— H. Rindler, Wien, in Monatshefte für Mathematik, Vol. 149, No. 4, 2006

From the Publisher