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A translation of "What is differential geometry: curves and surfaces"

2026/01/05 by Anton Petrunin, Sergio Zamora Barrera · 1 voice
Mathematics · #math.HO #math.DG

paper · pdf

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.

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