What's relation between physics and math with CSE ?
Answers
People often talk about the "unreasonable effectiveness of mathematics" — a phrase coined by the physicist Eugene Wigner in 1960 to capture the idea that mathematics describes the physical world far better than you'd expect from a mere human-made tool. Indeed, many physicists feel that mathematics expresses something deep about the nature of physical reality.
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- If you like thinking about complexity, there is a lot of research in condensed matter and quantum information which has to do with Hamiltonian complexity; there's also quantum complexity proper.
- If you like algs, there are a lot of problems in computational physics which benefit immensely from finding more efficient ways of computing things (physics itself relies heavily on approximations, and so you can try to find algorithms that get you close to the desired result but heavily reduce the running time). Similarly, a lot of algs work gets done in quantum computation.
- If you like information, then as some have already pointed out, statistical physics deals with quantities such as entropy that are analogous to the ones used in info theory. And then there's the whole field of quantum information..
- If you like graphics, then there are a lot of physical visualizations you can do (most cg animation uses very basic mechanics, though, so it might not totally satisfy your deep rooted interest).
- If you like the thrill of code, then there are tons of physics problems you can try to solve numerically. Most physics problems get dealt with in one of two ways - either you do it perturbatively, in a weak regime, or you do it computationally, in a strong regime, but where you are limited by machine precision. Check out lattice QCD and numerical relativity.
- If you straight-up like hardware and software, then there plenty of experiments that use their own custom stuff (like ROOT), that you can work on.