What are good ways to learn trigonometry and advanced math through programming?

Try using computer graphics as a practical path into the subject. Projects involving curves, camera transforms, depth buffering, anti-aliasing, and basic computer vision can naturally teach trigonometry, geometry, and linear algebra because you’ll immediately see how the math affects the output.

A useful book is *From Mathematics to Generic Programming* by Alexander Stepanov and Daniel Rose. It starts with foundational math, explains where the formulas come from, and then turns the ideas into C++ algorithms. The examples should be reasonably straightforward to adapt to C or another language.

A simple starting project would be a physics-based platformer or a projectile simulator. For example, making a character jump along a gravity-accurate parabolic arc forces you to work with velocity, acceleration, time, and equations of motion. In practice, the programming usually implements math you’ve learned, so it helps to study the concepts alongside the project rather than expecting the code alone to teach everything.

You could build your own vector and matrix library, then use it for a physics simulation. A project like that gives linear algebra a clear purpose: vectors represent positions and forces, matrices handle transformations, and calculus concepts can be explored through motion, acceleration, and numerical integration.