1. Calculus by James Stewart
2. Linear Algebra with applications by Steven J.Leon
3. 数学分析 by陈纪修等
4. 高等代数 by大学数学创新教材 丘维声
5. A First Course in Probability by Sheldon M.Ross
6. Fundamentals of complex analysis with applications to engineering and science by E.B.Saff
7. 微积分学教程by菲赫金哥尔茨
8. Elementary Probability by Kai Lai Chung
9. Mind on Statistics by Jessica M.Utts
10. A Second Course in Probability by Sheldon M.Ross
11. 解析几何 by 丘维声
12. Differential equations with bonded value by Zill
13. 应用随机过程 by 林元烈
14. Applied Multivariate Statistical Analysis
15. Discrete Mathematics and its applications by Kenneth H.Rosen
16. basic partial differential equations by Bleecder
17. Algebra by Artin
18. A First Course in Abstract Algebra by J.Rotman
19. Principles of Mathematical Analysis by Walter Rudin
20. Fourier Analysis by Elias M.Stein
21. 实变函数与泛函分析基础 by 程其襄
22. 实变函数论 by 那汤松
23. Real Analysis by Royden
24. A course in probability by Kai Lai Chung
25. Mathematical Analysis by Vladimir A.Zorich
26. Complx Analysis by Elias Stein
27. Real and Complex Analysis by Walter Rudin
28. Introductory Functional Analysis with Applications by Erwin Kreyszig
29. Functional Analysis by Walter Rudin
If you really want to do research, I would like to say Mathematics are useful.
More specifically, Probability, Stochastic Process, SDE are important topics.
To get a better understanding of those, Real Analysis and Measure Theory are helpful. And Calculus are fundamental of them.
Linear Alegebra become more important if you focus more on statistic methods such as glm.
I really didn't use any geometry, complex analysis or fourier analysis after graduated from Math major - -!
But I remembered fourier analysis was mentioned by one of my lecture professor for company bankruptcy theory.
Afterall, you never know what you need to use until you are using it. Get an overview of whole system is essential. To know what tools are available and always prepare to learn it is more important than what tools you already have for an actuary.
Sorry for can't type in Chinese. And bless all who are willing to donate their life for researching. lol~
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