Applications of math are everywhere…anywhere we see, use, test/taste, touch, etc…

I have made a quick compilation of some such examples below:

- Crystallography
- Coding Theory (Error Correction) (the stuff like Hamming codes, parity check codes; used in 3G, 4G etc.) Used in data storage also. Bar codes, QR codes, etc.
- Medicine: MRI, cancer detection, Tomography,etc.
- Image processing: JPEG2000; Digital enhancement etc.
- Regulating traffic: use of probability theory and queuing theory
- Improving performance in sports
- Betting and bidding; including spectrum auction using John Nash’s game theory.
- Robotics
- Space Exploration
- Wireless communications including cellular telephony. (You can Google search this; for example, Fourier Series is used in Digital Signal Processing (DSP). Even some concepts of convergence of a series are necessary!) Actually, this is a digital communications systems and each component of this requires heavy use of mathematical machinery: as the information bearing signal is passed from source to sink, it under goes several steps one-by-one: like Source Coding, encryption (like AES, or RSA or ECC), Error Control Coding and Modulation/Transmission via physical channel. On the receiver or sink side, the “opposite” steps are carried out. This is generally taught in Electrical Engineering. You can Google search these things.
- DNA Analysis
- Exploring oceans (example, with unmanned underwater vehicles)
- Packing (physical and electronic)
- Aircraft designing
- Pattern identification
- Weather forecasting.
- GPS also uses math. It uses physics also. Perhaps, just to satisfy your curiosity, GPS uses special relativity.
- Computer Networks: of course, they use Queuing theory. Long back, the TCP/IP slow start algorithm was designed and developed by van Jacobson.(You can Google search all this — but the stuff is arcande right now due to your current education level.)
- Architecture, of course, uses geometry. For example, Golden ratio.
- Analyzing fluid flows.
- Designing contact lenses for the eyes. Including coloured contact lenses to enhance beauty or for fashion.
- Artificial Intelligence and Machine Intelligence.
- Internet Security.
- Astronomy, of course. Who can ever forget this?
*Get yourself a nice telescope and get hooked. You can also Stellarium.org freeware to learn to identify stars and planets, and constellations.* - Analyzing chaos and fractals: the classic movie “Jurassic Park” was based on fractal geometry. The dino’s were, of course, simulations!
- Forensics
- Combinatorial optimization; the travelling salesman problem.
- Computational Biology

We will try to look at bit deeper into these applications in later blogs. And, yes, before I forget “Ramanujan’s algorithm to compute up to a million digits is used to test the efficacy and efficiency of supercomputers. Of course, there will be other testing procedures also, for testing supercomputers.

*There will be several more. Kindly share your views.*

-Nalin Pithwa.