微分几何是什么：曲线与曲面
What is differential geometry: curves and surfaces
AI总结：
本书通过曲线和曲面介绍微分几何，提供基础技术与可视化方法，帮助读者理解该领域的核心概念与研究方向。
摘要：
这些笔记旨在为那些计划从事微分几何研究或至少希望有充分理由不从事该领域的人准备。我们讨论光滑曲线和曲面——微分几何的主要入口。我们专注于对进一步学习绝对必要的技术，保持问题导向、基础性、可视化和几乎严格。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
