Differential Geometry and Topology of Curves: 1st Edition (Hardback) book cover

Differential Geometry and Topology of Curves

1st Edition

By Yu Animov

CRC Press

216 pages

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Hardback: 9789056990916
pub: 2001-01-11
$185.00
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eBook (VitalSource) : 9780429114113
pub: 2001-01-11
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Description

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.

Table of Contents

Depending on Numerical Arguments

Straight Line Tangent to a Curve

The Arc Length of a Curve

Singular Points of Plane Curves

Frenet Formulas

Curve Filling a Surface

Guass's Integral for Two Linked Curves

Knots

Curves With Constant Curvatures in n-Dimensional Euclidean Space

Subject Categories

BISAC Subject Codes/Headings:
MAT007000
MATHEMATICS / Differential Equations
MAT012000
MATHEMATICS / Geometry / General
SCI040000
SCIENCE / Mathematical Physics