Synopsis
The topics of this textbook are curves in differential geometry and they are 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, and 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; specifically; 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 solved problem to meet the quality standard
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Comprehensive Study of Curves in Differential Geometry
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LAP LAMBERT Academic Publishing, 2022
ISBN 10: 6205491338
ISBN 13: 9786205491331
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Comprehensive Study of Curves in Differential Geometry
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Comprehensive Study of Curves in Differential Geometry
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Kartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Ali Abou Bakr Sahar MohamedThe author is professor of pure mathematics at Ain Shams University, Faculty of Science, Cairo, Egypt, teaching pure mathematical courses for both under graduate and post graduate students, supervising proj. Seller Inventory # 702618527
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Comprehensive Study of Curves in Differential Geometry
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Comprehensive Study of Curves in Differential Geometry | Second Edition
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Taschenbuch. Condition: Neu. Comprehensive Study of Curves in Differential Geometry | Second Edition | Sahar Mohamed Ali Abou Bakr | Taschenbuch | Englisch | 2022 | LAP LAMBERT Academic Publishing | EAN 9786205491331 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu Print on Demand. Seller Inventory # 124239129
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Comprehensive Study of Curves in Differential Geometry
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ISBN 10: 6205491338
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Taschenbuch. Condition: Neu. Neuware -The topics of this textbook are curves in differential geometry and they are 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, and 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; specifically; 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 solved problem to meet the quality standardBooks on Demand GmbH, Überseering 33, 22297 Hamburg 224 pp. Englisch. Seller Inventory # 9786205491331
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Comprehensive Study of Curves in Differential Geometry : Second Edition
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Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - The topics of this textbook are curves in differential geometry and they are 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, and 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; specifically; 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 solved problem to meet the quality standard. Seller Inventory # 9786205491331
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