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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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- PublisherLAP LAMBERT Academic Publishing
- Publication date2022
- ISBN 10 6205491338
- ISBN 13 9786205491331
- BindingPaperback
- LanguageEnglish
- Number of pages224
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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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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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ISBN 10: 6205491338
ISBN 13: 9786205491331
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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 : Second Edition
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LAP LAMBERT Academic Publishing, 2022
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ISBN 13: 9786205491331
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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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