What is differential geometry: curves and surfaces
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Publication:6505034
arXiv2012.11814MaRDI QIDQ6505034
Sergio Zamora Barrera, Anton Petrunin
Abstract: These notes are designed for those who either plan to work in differential geometry, or at least want to have a good reason not to do it. We discuss smooth curves and surfaces -- the main gate to differential geometry. We focus on the techniques that are absolutely essential for further study, keeping it problem-centered, elementary, visual, and virtually rigorous.
Has companion code repository: https://github.com/anton-petrunin/gauss
Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Surfaces in Euclidean and related spaces (53A05) Curves in Euclidean and related spaces (53A04) Global surface theory (convex surfaces à la A. D. Aleksandrov) (53C45)
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