Work

De Euclides a Berggren: las ternas pitagóricas como puente entre la teoría de números y educación matemática

Year: 2026

Type: preprint

Abstract: Pythagorean triples constitute one of the oldest and most fascinating mathematical objects in number theory. This work presents a comprehensive review of their theoretical foundations, generation methods, and structural properties. The Euclidean characterization of primitive triples, contemporary approaches for their complete generation, and the algebraic structures underlying the set of triples are examined. The monograph is aimed at researchers in mathematics education and offers a solid foundation for the teaching of this topic from a research perspective.

Source: Zenodo (CERN European Organization for Nuclear Research)

DOI: 10.5281/zenodo.22185021

Author: Leal Ramirez, Sergio

Institution: Universidad de Ciencias Pedagógicas Enrique José Varona

Language: English

Topic: Algebraic Geometry and Number Theory

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7204809396

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