This friend has figured out all the knowledge about mathematics, but he needs to learn the corresponding mathematics content in different learning stages, which means that mathematics learning is hierarchical. At which learning level, what aspects of learning mathematics content are scientific and regular. It's not that you can learn whichever you want, so you can't learn systematic mathematics and can't learn mathematics well. Advanced mathematics is the content of university, which is higher than middle school mathematics in level and depth. Studying advanced mathematics will be of great help to middle school mathematics learning, but I personally don't recommend you to study mathematics like this. It's simple. Buildings are built from bottom to top. Spending a lot of time studying advanced mathematics during middle school is equivalent to building castles in the air. Do you think it will collapse? Even mathematical geniuses learn from the basics first, but they learn quickly. Of course, you can take time to study advanced mathematics in primary school, but you should feed this kind of learning back to the understanding of the middle school mathematics content you are studying at present, and don't lose sesame seeds to pick watermelons. In fact, the content of mathematics learning in each stage is very enlightening, and it is not as simple as we thought. When you learn to develop lateral thinking, draw inferences from others and find more ideas and methods to solve problems, which is far more valuable than your vertical development. The same is true of the relationship between the Olympic Mathematics and the usual exams. Think about it and wish you progress and success in your studies.