用户: Dforsign/线性代数杂谈

Mac Lane 如是说. Put differently, good general theory does not search for the maximum generality, but for the right generality.

Dieudonné 如是说. It is absolutely intolerable to use analytical geometry for linear algebra with coordinates, still called analytical geometry in the elementary books. Analytical geometry in this sense has never existed. There are only people who do linear algebra badly, by taking coordinates and this they call analytical geometry. Out with them! Everyone knows that analytical geometry is the theory of analytical spaces, one of the deepest and most difficult theories of all mathematics.