What is differential geometry: curves and surfaces
History and Overview
2026-01-05 v7 Differential Geometry
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.
Keywords
Cite
@article{arxiv.2012.11814,
title = {What is differential geometry: curves and surfaces},
author = {Anton Petrunin and Sergio Zamora Barrera},
journal= {arXiv preprint arXiv:2012.11814},
year = {2026}
}
Comments
third printing