Big basic course:
mathematical analysis
(Recommended by East China Normal University's Mathematical Analysis Higher Education Press and Peking University's New Lecture Notes on Mathematical Analysis Peking University Press. For exercises, please refer to Mathematical Analysis Exercises (Jimidovich Shandong Science and Technology Publishing House).
advanced algebra
(Similar to the course of linear algebra, Peking University textbook Higher Algebra was edited by Wang Efang and revised by Shi Shengming Higher Education Press).
Analytic geometry
(Analytical Geometry, Suzhou University, Higher Education Press, such as Lv Lingen and Xu Zidao)
Update answer:
Those books, real variable functions, complex variable functions and functional analysis are all the follow-up knowledge of mathematical analysis.
It is suggested that there are differential equations (ordinary differential equations and partial differential equations) after mathematical analysis. After advanced algebra, there is modern algebra. Elementary number theory is relatively advanced knowledge, which can be learned at last.
Smooth sailing, good luck, good luck, good luck, and rich financial resources.