Principal Curvature

Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   Betascript Publishing
ISBN:  

9786133534124


Pages:   108
Publication Date:   12 November 2010
Format:   Paperback
Availability:   Out of print, replaced by POD   Availability explained
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Principal Curvature


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Overview

Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In differential geometry, the two principal curvatures at a given point of a surface are the eigenvalues of the shape operator at the point. They measure how the surface bends by different amounts in different directions at that point. At each point p of a differentiable surface in 3-dimensional Euclidean space one may choose a unit normal vector. A normal plane at p is one that contains the normal, and will therefore also contain a unique direction tangent to the surface and cut the surface in a plane curve. This curve will in general have different curvatures for different normal planes at p. The principal curvatures at p, denoted k1 and k2, are the maximum and minimum values of this curvature. Here the curvature of a curve is by definition the reciprocal of the radius of the osculating circle.

Full Product Details

Author:   Lambert M. Surhone ,  Mariam T. Tennoe ,  Susan F. Henssonow
Publisher:   Betascript Publishing
Imprint:   Betascript Publishing
Dimensions:   Width: 15.20cm , Height: 0.60cm , Length: 22.90cm
Weight:   0.171kg
ISBN:  

9786133534124


ISBN 10:   6133534125
Pages:   108
Publication Date:   12 November 2010
Audience:   General/trade ,  General
Format:   Paperback
Publisher's Status:   Active
Availability:   Out of print, replaced by POD   Availability explained
We will order this item for you from a manufatured on demand supplier.

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