Abstract
We intend to present some basic facts related to the Differential Geometry of a surface in a 3D-space in the simplest form we imagined. All readers must know basic Calculus and they have to accept from the beginning that we work with functions which are smooth, that is they are indefinitely differentiable functions in one or several variables at each point of their domain of definition.
If you want to understand the infinity you first feel the taste of stars ...
The physicist in preparing for his work needs three things:
Mathematics, mathematics, and mathematics.
Wilhelm Röntgen
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Boskoff, WG., Capozziello, S. (2024). Revisiting the Differential Geometry of Surfaces in 3D-Spaces. In: A Mathematical Journey to Relativity. UNITEXT for Physics. Springer, Cham. https://doi.org/10.1007/978-3-031-54823-9_4
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DOI: https://doi.org/10.1007/978-3-031-54823-9_4
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-031-54823-9
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