I'm a freshman in high school and have been learning Python for about three years. I've decided to shift my focus from random projects to competitive programming and managed to learn some C++ basics within a week. I'm aiming for the USACO, with the long-term goal of becoming a quant developer. I also want to team up with a friend to create apps, using Python for the backend while they handle the front end. My main concern is building a solid math foundation and thoroughly understanding the low-level concepts behind programming languages. I'm looking for recommendations on books that cover a variety of low-level concepts since I'm currently interested in breadth of knowledge. Additionally, do you think studying math alongside my coding, especially linear algebra and multivariable calculus in my senior year, would benefit my programming skills?
2 Answers
You're already doing amazing for your age, so try not to stress about it too much. For low-level programming, I highly recommend checking out "Computer Systems: A Programmer's Perspective." It's thorough and covers everything from memory management to processor workings without overwhelming you. Trust me, it’s a great foundation! And when it comes to math, it's absolutely crucial if you're aiming for quant dev—linear algebra especially. It will help you grasp algorithms much quicker as you dive into more complex competitive programming problems.
Definitely, math will aid you in understanding low-level concepts. However, if you're interested in low-level server-side programming, Python might not be the best fit. Learning Rust alongside your current studies could be beneficial if you're looking to push boundaries. Also, you might want to dive into how floating-point math works in computers—there are quirks when you perform many operations that can really change the numbers. If you're up for a challenge, consider looking into GPU computations with CUDA. Engaging in matrix work there makes linear algebra super useful, while calculus won't be as essential.
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