January 2022
Intermediate to advanced
366 pages
9h 15m
English
“I count Maxwell and Einstein, Eddington and Dirac, among “real” mathematicians. The great modern achievements of applied mathematics have been in relativity and quantum mechanics, and these subjects are at present at any rate, almost as “useless” as the theory of numbers.”
– Godfrey Harold Hardy
Diophantine equations are those equations restricted to only integral solutions. In chapter 2 (Section 2.7), we have studied only linear Diophantine equations. There we discussed how the integral solutions can be calculated. But what about non-linear Diophantine equations? Unlike linear Diophantine equations, in general there is no method for solving all non-linear Diophantine equations. ...