Tangent Spaces

Rajnikant Sinha ()
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Rajnikant Sinha: Magadh University, Department of Mathematics

Chapter Chapter 2 in Smooth Manifolds, 2014, pp 31-124 from Springer

Abstract: Abstract Above dimension three, Euclidean space loses its quality of being visible. So, in order to investigate higher-dimensional smooth manifolds, we need to generalize the concept of tangent line in the case of curves in two-dimensional Euclidean space, and tangent plane in the case of surfaces in three-dimensional Euclidean space, using abstract tools of algebra, and analysis.

Keywords: Smooth Manifold; Three-dimensional Euclidean Space; Precise Tool; Real Linear Space; Ordinary Calculus (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-81-322-2104-3_2

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DOI: 10.1007/978-81-322-2104-3_2

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