Department of Mechanics, Faculty of Engineering, University of Zanjan
10.30504/mct.2025.1551.2088
Abstract
In this article, intuitive proofs of some well-known mathematical theorems are reviewed using basic principles of physics. In this article, proof is introduced as a part of any mathematical curriculum, with a potential contribution to the classroom and to the promotion of mathematical understanding. It is emphasized that observation and measurement should not be abandoned in the name of providing mathematical proof. In addition, the possible role of the laws of physics (which are traditionally an important source of some mathematical problems) in mathematical proof and how this role can be played in the classroom is explained. This article attempts to make proof in the classroom meaningful with the help of empirical (physical) arguments and to strengthen the role of applications in teaching mathematics. To achieve these goals, for example, numerous examples, including the two-dimensional and three-dimensional Seva theorem, the Fermat point theorem, and the two-dimensional and three-dimensional Pythagorean theorem, are presented and proven by presenting mathematical arguments. Finally, as a more advanced topic of the application of physical arguments in mathematics, the condition of consistency and singularity of the solution of singular integral equations of the Cauchy type is mentioned.
Teimoori Faal,R . (2025). Physics arguments in mathematical proofs. (e462). Mathematical Culture and Thought, (), e462 doi: 10.30504/mct.2025.1551.2088
MLA
Teimoori Faal,R . "Physics arguments in mathematical proofs" .e462 , Mathematical Culture and Thought, , , 2025, e462. doi: 10.30504/mct.2025.1551.2088
HARVARD
Teimoori Faal R. (2025). 'Physics arguments in mathematical proofs', Mathematical Culture and Thought, (), e462. doi: 10.30504/mct.2025.1551.2088
CHICAGO
R Teimoori Faal, "Physics arguments in mathematical proofs," Mathematical Culture and Thought, (2025): e462, doi: 10.30504/mct.2025.1551.2088
VANCOUVER
Teimoori Faal R. Physics arguments in mathematical proofs. An Expository Journal of the Iranian Mathematical Society. 2025;():e462 (In Persian). doi: 10.30504/mct.2025.1551.2088