Xintong Yang

Rationality Proof of Newton's Method for Finding Quadratic Trinomial Factors of Univariate Integer Coefficient Polynomials

Xintong Yang · Asian Research Journal of Mathematics · 2023

The method of finding quadratic trinomial factors for univariate integer coefficient polynomials, proposed by the famous mathematician Isaac Newton in his mathematical monograph Arithmetica Universalis, is novel and concise, and has attracted the attention of mathematicians such...

Open access Research Article 10.9734/arjom/2023/v19i10724

The Mechanization thought and its Characteristics Contained in Newton's Mathematics

Xintong Yang · Asian Research Journal of Mathematics · 2023

Understanding the characteristics of Newtonian mathematics is of great value. By analyzing some of Newton’s representative mathematical contents, we found that: Newton used the thought of mathematical mechanization in his mathematics. Newton applied the thought of mathematical me...

Open access Research Article 10.9734/arjom/2023/v19i9698

The Application of Homotopy Perturbation Method: An Overview

Xintong Yang · Asian Research Journal of Mathematics · 2022

As an effective method for solving linear and nonlinear equations, the homotopy perturbation method is usually applied to solving relevant problems. We analyze 74 studies on the application of the homotopy perturbation method and present a comprehensive review of them with the co...

Open access Research Article 10.9734/arjom/2022/v18i230357