Qian Jilin's two books, Mathematical Analysis and Advanced Algebra, add up to more than 1800 channels. Many proofs of linear space, linear transformation, Euclidean space and unitary space in higher algebra are too neglected. Professional mathematics emphasizes proof, ranking first lies in the application of calculation and mathematical knowledge. The proof of uniform continuity and uniform convergence in mathematical analysis are all knowledge points that Peking University likes to set questions. There are too many things in this system that you need to sum up by yourself. Uniform convergence: generalized integral, parametric variable integral and function term series all have the proof of uniform convergence, but some small differences in their proof theorems need to be pondered slowly. There are one, two, three integrals, the calculation of curve area and so on. What criteria are used to strictly distinguish?