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| Open Access | DIFFERENTIAL PROPERTIES OF CURVES
Khasanova Go‘zal Maxmud kizi , Mathematics teacher at Jaloliddin Manguberdi Military-Academic Lyceum First-year Master’s student at Asia International UniversityAbstract
This article comprehensively discusses the differential properties of curves, particularly their parametric representation, arc length, curvature, normal and binormal vectors, Frenet formulas, and their geometric as well as practical interpretations. In addition, the main invariants describing the behavior of curves in space are analyzed.
Keywords
curve, curvature, Frenet–Serret formulas, Frenet frame, tangent vector, normal vector, differential geometry.
References
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Axmedov A.B., Shamsiyev D.N., Shamsiyev R.N., Pirmatov Sh.T. Higher Mathematics. – Tashkent: Fan va Texnologiya, 2018.
Hasanov A.B. Introduction to the Theory of Ordinary Differential Equations. – Samarkand, 2019.
Narmanov A.Ya. Collection of Problems in Differential Geometry and Topology. – Tashkent, 2014.
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This work is licensed under a Creative Commons Attribution 4.0 International License.