This question is about the pre-requisites to the pre-requisite math needed to become a front desk quant. I have done research online and I found that there are a lot of recommended books as a pre-requisite to become a quant. A great answer has been given by Daneel Olivaw in this thread. Some of them are
- Options, Futures and Other Derivatives -- John Hull
- Stochastic Calculus for Finance I: The Binomial Asset Pricing Model -- Steven Shreve
- Stochastic Calculus for Finance II: Continuous-Time Models -- Steven Shreve
- Stochastic Differential Equations -- Bernt Oksendal
- Analysis of Financial Time Series -- Ruey S. Tsay
However, it seems like I'd need background in basic math to be able to study any of the above. The pre-requisite math has pre-requisites! This brings me to my question. Which books are pre-requisites to the pre-requisite math needed to become a quant?
Specifically, it would be great if you can comment on the following list as to whether you think I'd need it or not, to be able to study the advanced math needed to become a quant.
- Principles of Mathematical Analysis -- Walter Rudin
- Probability and Measure -- Patrick Billingsley
- Real and Complex Analysis -- Walter Rudin
- Linear Algebra Done Right -- Sheldon Axler
- Ordinary Differential Equations -- Arnold
- Partial Differential Equations -- Lawrence Evans
Please let me know about your opinion about the pre-requisites to the pre-requisite math needed to become a quant. Specifically, I would greatly appreciate if you can just modify the above list for me.