https://s-ai-unix.github.io/tags/%E5%87%A0%E4%BD%95/Recent content in 几何 on s-ai-unix's BlogHugo -- 0.161.1zh-cnWed, 28 Jan 2026 20:20:00 +0800https://s-ai-unix.github.io/posts/2026-01-28-surface-theory-differential-geometry/Wed, 28 Jan 2026 20:20:00 +0800https://s-ai-unix.github.io/posts/2026-01-28-surface-theory-differential-geometry/深入探讨微分几何中曲面论的核心内容，从第一基本型、第二基本型的引入动机到几何意义，全面推导关键公式并探讨高斯绝妙定理的深刻内涵。https://s-ai-unix.github.io/posts/2026-01-25-intrinsic-extrinsic-geometry/Sun, 25 Jan 2026 16:00:00 +0800https://s-ai-unix.github.io/posts/2026-01-25-intrinsic-extrinsic-geometry/从蚂蚁的视角到上帝的视角：系统性介绍微分几何中的内蕴几何与外蕴几何，通过直观例子和 3D 可视化深入浅出地解释这两个核心概念https://s-ai-unix.github.io/posts/2026-01-25-linear-algebra-complete-guide/Sun, 25 Jan 2026 08:45:00 +0800https://s-ai-unix.github.io/posts/2026-01-25-linear-algebra-complete-guide/这是一篇关于线性代数的系统综述，从向量空间的几何直观到深度学习的矩阵运算，全面阐述线性代数在现代人工智能中的核心作用。https://s-ai-unix.github.io/posts/2026-01-14-riemann-curvature-tensor/Wed, 14 Jan 2026 21:28:00 +0800https://s-ai-unix.github.io/posts/2026-01-14-riemann-curvature-tensor/从高斯曲率到黎曼几何，探索描述弯曲时空的数学工具https://s-ai-unix.github.io/posts/2026-01-14-gaussian-curvature/Wed, 14 Jan 2026 21:16:00 +0800https://s-ai-unix.github.io/posts/2026-01-14-gaussian-curvature/从古希腊的几何学到现代物理，高斯曲率如何改变了我们理解宇宙的方式https://s-ai-unix.github.io/posts/2026-01-13-monge-ampere-equation-detailed-introduction/Tue, 13 Jan 2026 16:00:00 +0800https://s-ai-unix.github.io/posts/2026-01-13-monge-ampere-equation-detailed-introduction/从历史脉络到核心公式推导，系统梳理蒙日-安培方程的理论演进与跨学科应用。