I start learning algebra Groups, Rings and fields and when I wondering about these words practically meaning these words has no relationship with the mathematical definition of these, and the second thing is practically somewhere a found example of Group like asymmetric group(Diheadrl group is practically seen in lifelike Mercedes-Benz has D3 symmetric) or in the understanding of some chemical compound.
But similarly, I know there are some great use/applications of this structure but I wanted to explore these Geometrically and I don't found some practical or Geometrically applications of Rings and Field?
Thank you in advanced