Fourier Transforms Project

Problem1.Write a letter (about 2 pages) to Archimedes of Syracuse explainingthe field of complex numbers and the finite Fourier transform to him.Problem2.Write  a  letter  (2  pages)  to  Sir  Isaac  Newton  explaining  theHeisenberg Uncertainty Principle to him.Problem3.Write  a  letter  (1 pages)  to  Benjamin  Franklin  explaining  theIsoperimetric Inequality and its proof to him.Problem4.Did  Marie  Curie  know  all  the  topics  we  studied  or  you  would  need  toexplain any of them to her?