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Submitted July 24, 2024
Published 2024-07-25

Artículos

Vol. 26 No. 2 (2024): Tecnociencia

DETAILED ANALYSIS OF THE PROCEDURES USED BY LEONHARD EULER TO SOLVE THE KÖNIGSBERG BRIDGE PROBLEM, ITS RELATIONSHIP WITH THE ORIGEN OF GRAPH THEORY AND THE OBJECTIVES OF MATHEMATICAL EDUCATION

DOI https://doi.org/10.48204/j.tecno.v26n2.a5407

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DOI: 10.48204/j.tecno.v26n2.a5407

Published: 2024-07-25

How to Cite

Herrera Díaz , D. (2024) “DETAILED ANALYSIS OF THE PROCEDURES USED BY LEONHARD EULER TO SOLVE THE KÖNIGSBERG BRIDGE PROBLEM, ITS RELATIONSHIP WITH THE ORIGEN OF GRAPH THEORY AND THE OBJECTIVES OF MATHEMATICAL EDUCATION”, Tecnociencia, 26(2), pp. 126–140. doi: 10.48204/j.tecno.v26n2.a5407.

Copyright (c) 2024 Tecnociencia

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Abstract

Leonhard Euler's procedures for proving the unsolvability of the Königsberg bridge problem and for determining the possibility of traversing any configuration of waters and bridges are analyzed in detail.  At the same time, the mathematical formalization of these procedures is presented within the context of Graph Theory.

The content analysis revealed that Euler primarily employed three current objectives of Mathematical Education for solving the Königsberg Bridges problem, namely: modeling, pattern seeking, and argumentation. Meanwhile, the ideas he used to determine the possibility of traversing any configuration of waters and bridges gave rise to the first theorem of Graph Theory

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