论文标题

什么是差异几何形状:曲线和表面

What is differential geometry: curves and surfaces

论文作者

Petrunin, Anton, Barrera, Sergio Zamora

论文摘要

这些笔记是为计划在差异几何形状上工作的人设计的,或者至少希望有充分的理由不这样做。我们讨论平滑的曲线和表面 - 差分几何形状的主要门。我们专注于对进一步研究,使其以问题为中心,基础,视觉和几乎严格的技术。

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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