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Applications of mathematics to any field inside or outside mathematics
19
votes
What "real life" problems can be solved using billiards?
The keyword you are looking for is " Microorganism Billiards".
Very recent topic, but now seems to be catching up in fluids/bio community.
4
votes
How does the work of a pure mathematician impact society?
See: http://www.whydomath.org/
Plenty of pure mathematics keeps turning into "applied" mathematics as time goes by.
That is the gist of how math impacts society. I would stay away from the more philo …
1
vote
Applications of discrete-time dynamics
Many systems are best probed stroboscopically. For e.g. in the design of space mission trajectories, it is customary to use the restricted-three body problem as the model for dynamics of the spacecraf …
1
vote
Surprising applications of the theory of games?
To me, the most surprising has been it's application to numerical solutions of PDEs, see here: Owhadi, Houman, and Clint Scovel. Operator-Adapted Wavelets, Fast Solvers, and Numerical Homogenization: …