将初等几何问题上升到 射影几何 (projective geometry)的高度,能让我们看清“神来之笔”背后的 必然性。 特别是 施泰纳定理 (steiner’s theorem)和 一维射影对应 (projectivity),是. 从某种角度上来说,这两者的关系有点儿像hilbert空间和banach空间的关系。 finsler geometry是riemann geometry的自然推广。 它推广的是riemann geometry定义曲线长度,也就是定义距离的方. 听同学说过几本1 harder 写的两本lectures on algebraic geometry i:
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