After this exercise, I deeply felt my own shortcomings. First, these mistakes can be avoided without careful inspection, second, without careful work, and third, without timely review.

But I didn't do it and failed to live up to the expectations of teachers and parents. I want to reflect deeply, know my own shortcomings and make up for them. Here, I promise that I will keep this mistake in mind and improve it with great enthusiasm. I hope to believe.

mathematical analysis

Mathematical wrong problem analysis includes the following three core parts. Typical mistakes: error cause analysis: error correction measures: In addition to the above parts, similar mistakes can be listed together. Or pick the key words, and then directly read the wrong question book when reviewing. Review is fast and effective.

In differential geometry, there are concepts such as fiber bundle and calculation on manifold, and in algebraic geometry, there are descriptions of geometric objects such as solution sets of polynomial equations, which combine the concepts of number and space. There is also the study of topological groups, which combines structure and space. Lie groups are used to study space, structure and change.