Comprehensive Study of Curves in Differential Geometry

 
9783659874079: Comprehensive Study of Curves in Differential Geometry
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Reseña del editor:

The topics of this textbook are curves in differential geometry and they are primarily studied by means of parametrization. Particularly; curvilinear coordinates, plane curves and skew curves like; helices, involutes, evolutes, spherical indicatrix, circles and spheres of curvatures. It also introduces some quadratic surfaces, theory of contacts, curves-surfaces contacts relationships, envelops, the geometry of curves in differential geometry in general. The main properties of these objects, which will be studied, are notions related to the shape;tangents, principle normals, binormals,tangent lines, normal planes, osculating planes, and rectifying planes. The fundamental investigated concepts are curvatures and torsion as the basic intrinsic property of a curve, independent of its isometric embedding in Euclidean space. One of the most important tools used to analyze a curve is the Serret-Frenet frame,a moving frame that provides a coordinate system at each point of the curve that is best adapted to the curve near that point.This text is supplied with sufficient illustrated figures, adequate number of examples, exercises,and problem solving to meet the quality standard.

Biografía del autor:

Sahar Mohamed Ali is an associate professor of pure mathematics at Ain Shams University, Faculty of Science, Cairo, Egypt, teaches some pure mathematical courses for under graduate and post graduate students, supervising projects, M.Sc and Ph.D thesis, authoring many research papers and books, her major field of study is functional & real Analysis

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Mohamed Ali Abou Bakr, Sahar
ISBN 10: 3659874078 ISBN 13: 9783659874079
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Descripción Condición: New. Publisher/Verlag: LAP Lambert Academic Publishing | The topics of this textbook are curves in differential geometry and they are primarily studied by means of parametrization. Particularly; curvilinear coordinates, plane curves and skew curves like; helices, involutes, evolutes, spherical indicatrix, circles and spheres of curvatures. It also introduces some quadratic surfaces, theory of contacts, curves-surfaces contacts relationships, envelops, the geometry of curves in differential geometry in general. The main properties of these objects, which will be studied, are notions related to the shape;tangents, principle normals, binormals,tangent lines, normal planes, osculating planes, and rectifying planes. The fundamental investigated concepts are curvatures and torsion as the basic intrinsic property of a curve, independent of its isometric embedding in Euclidean space. One of the most important tools used to analyze a curve is the Serret-Frenet frame,a moving frame that provides a coordinate system at each point of the curve that is best adapted to the curve near that point.This text is supplied with sufficient illustrated figures, adequate number of examples, exercises,and problem solving to meet the quality standard. | Format: Paperback | Language/Sprache: english | 224 pp. Nº de ref. del artículo: K9783659874079

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Sahar Mohamed Ali Abou Bakr
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ISBN 10: 3659874078 ISBN 13: 9783659874079
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Descripción LAP Lambert Academic Publishing Mai 2016, 2016. Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Neuware - The topics of this textbook are curves in differential geometry and they are primarily studied by means of parametrization. Particularly; curvilinear coordinates, plane curves and skew curves like; helices, involutes, evolutes, spherical indicatrix, circles and spheres of curvatures. It also introduces some quadratic surfaces, theory of contacts, curves-surfaces contacts relationships, envelops, the geometry of curves in differential geometry in general. The main properties of these objects, which will be studied, are notions related to the shape;tangents, principle normals, binormals,tangent lines, normal planes, osculating planes, and rectifying planes. The fundamental investigated concepts are curvatures and torsion as the basic intrinsic property of a curve, independent of its isometric embedding in Euclidean space. One of the most important tools used to analyze a curve is the Serret-Frenet frame,a moving frame that provides a coordinate system at each point of the curve that is best adapted to the curve near that point.This text is supplied with sufficient illustrated figures, adequate number of examples, exercises,and problem solving to meet the quality standard. 224 pp. Englisch. Nº de ref. del artículo: 9783659874079

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Sahar Mohamed Ali Abou Bakr
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Descripción LAP Lambert Academic Publishing Mai 2016, 2016. Taschenbuch. Condición: Neu. Neuware - The topics of this textbook are curves in differential geometry and they are primarily studied by means of parametrization. Particularly; curvilinear coordinates, plane curves and skew curves like; helices, involutes, evolutes, spherical indicatrix, circles and spheres of curvatures. It also introduces some quadratic surfaces, theory of contacts, curves-surfaces contacts relationships, envelops, the geometry of curves in differential geometry in general. The main properties of these objects, which will be studied, are notions related to the shape;tangents, principle normals, binormals,tangent lines, normal planes, osculating planes, and rectifying planes. The fundamental investigated concepts are curvatures and torsion as the basic intrinsic property of a curve, independent of its isometric embedding in Euclidean space. One of the most important tools used to analyze a curve is the Serret-Frenet frame,a moving frame that provides a coordinate system at each point of the curve that is best adapted to the curve near that point.This text is supplied with sufficient illustrated figures, adequate number of examples, exercises,and problem solving to meet the quality standard. 224 pp. Englisch. Nº de ref. del artículo: 9783659874079

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Sahar Mohamed Ali Abou Bakr
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ISBN 10: 3659874078 ISBN 13: 9783659874079
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Descripción LAP Lambert Academic Publishing Mai 2016, 2016. Taschenbuch. Condición: Neu. Neuware - The topics of this textbook are curves in differential geometry and they are primarily studied by means of parametrization. Particularly; curvilinear coordinates, plane curves and skew curves like; helices, involutes, evolutes, spherical indicatrix, circles and spheres of curvatures. It also introduces some quadratic surfaces, theory of contacts, curves-surfaces contacts relationships, envelops, the geometry of curves in differential geometry in general. The main properties of these objects, which will be studied, are notions related to the shape;tangents, principle normals, binormals,tangent lines, normal planes, osculating planes, and rectifying planes. The fundamental investigated concepts are curvatures and torsion as the basic intrinsic property of a curve, independent of its isometric embedding in Euclidean space. One of the most important tools used to analyze a curve is the Serret-Frenet frame,a moving frame that provides a coordinate system at each point of the curve that is best adapted to the curve near that point.This text is supplied with sufficient illustrated figures, adequate number of examples, exercises,and problem solving to meet the quality standard. 224 pp. Englisch. Nº de ref. del artículo: 9783659874079

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Sahar Mohamed Ali Abou Bakr
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Descripción LAP Lambert Academic Publishing, 2016. Paperback. Condición: New. Language: English . Brand New Book. The topics of this textbook are curves in differential geometry and they are primarily studied by means of parametrization. Particularly; curvilinear coordinates, plane curves and skew curves like; helices, involutes, evolutes, spherical indicatrix, circles and spheres of curvatures. It also introduces some quadratic surfaces, theory of contacts, curves-surfaces contacts relationships, envelops, the geometry of curves in differential geometry in general. The main properties of these objects, which will be studied, are notions related to the shape;tangents, principle normals, binormals,tangent lines, normal planes, osculating planes, and rectifying planes. The fundamental investigated concepts are curvatures and torsion as the basic intrinsic property of a curve, independent of its isometric embedding in Euclidean space. One of the most important tools used to analyze a curve is the Serret-Frenet frame,a moving frame that provides a coordinate system at each point of the curve that is best adapted to the curve near that point.This text is supplied with sufficient illustrated figures, adequate number of examples, exercises,and problem solving to meet the quality standard. Nº de ref. del artículo: KNV9783659874079

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Mohamed Ali Abou Bakr, Sahar
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Descripción LAP LAMBERT Academic Publishing. Condición: New. Paperback. Worldwide shipping. FREE fast shipping inside USA (express 2-3 day delivery also available). Tracking service included. Ships from United States of America. Nº de ref. del artículo: 3659874078

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