Differential Geometry and Topology of Curves

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A01=Yu Animov
advanced mathematics textbook
Al
Alexander Polynomial
arc
Arc Length
Author_Yu Animov
Category=PBMP
Category=PBP
Closed Curve
closed polygonal curve conditions
Cos
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Euclidean Space
formulas
frenet
Frenet Formulas
Frenet Frame
geometric invariants
Holds
Knot Group
length
line
mathematical topology
Osculating
Osculating Planes
periodic curvature analysis
planar
Planar Curve
Plane Curves
Point PI
Point PO
polygonal
Polygonal Line
position
Position Vector
Principal Normal Vector
Riemannian manifolds
S2
Self-intersection Point
Smooth
space
tangent
Tangent Ray
Tangent Vector
torsion theory
Unit Tangent Vector

Product details

  • ISBN 9789056990916
  • Weight: 544g
  • Dimensions: 174 x 246mm
  • Publication Date: 11 Jan 2001
  • Publisher: Taylor & Francis Ltd
  • Publication City/Country: GB
  • Product Form: Hardback
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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.

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