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Number Theory and its Applications
book

Number Theory and its Applications

by Satyabrota Kundu, Supriyo Mazumder
January 2022
Intermediate to advanced content levelIntermediate to advanced
366 pages
9h 15m
English
CRC Press
Content preview from Number Theory and its Applications

12 Few Non-Linear Diophantine Equations

“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

12.1 Introduction

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. ...

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Publisher Resources

ISBN: 9781000562583