Differential Geometry and Topology of Curves

by Yu Animov

Overview

Differential geometry is an actively developing area of modern mathematics. This volume presents a classical approach to the general topics of the geometry of curves, including the theory of curves in n-dimensional Euclidean space. The author investigates problems for special classes of curves and gives the working method used to obtain the conditi

Product Details

ISBN-13:	9781040199244
Publisher:	CRC Press
Publication date:	01/11/2001
Sold by:	Barnes & Noble
Format:	eBook
Pages:	216
File size:	1 MB

Table of Contents

Differential geometry is an actively developing area of modern mathematics. This volume presents a classical approach to the general topics of the geometry of curves, including the theory of curves in n-dimensional Euclidean space. The author investigates problems for special classes of curves and gives the working method used to obtain the conditions for closed polygonal curves. The proof of the Bakel-Werner theorem in conditions of boundedness for curves with periodic curvature and torsion is also presented. This volume also highlights the contributions made by great geometers. past and present, to differential geometry and the topology of curves.

Editorial Reviews

Presents a classical approach to the general topics of the geometry of curves, including the theory of curves in -dimensional Euclidean space. Yu (Ukranian Academy of Sciences) investigates problems for special classes of curves, and gives the working method to obtain the conditions for closed polygonal curves. The proof of the Backelman- Werner theorem in conditions of boundedness for curves with periodic curvature and torsion is also given. The text concludes with Gauss's integral for two linked curves, knots, and applications. Annotation c. Book News, Inc., Portland, OR (booknews.com)

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