Construcción, demostración y aplicación de los tres números irracionales más famosos

Abstract

In this work, three fundamental aspects that make it an exquisite content and development are carefully studied. Initially, with regard to the geometric and/or numerical construction of each of the three irrational numbers chosen, fully established and previously tested criteria are used, as well as the author’s own methods. Then, with regard to the demonstration of the irrationality of the three numbers, previous results are taken into account to be applied in the main demonstration, the whole procedure is based on methods developed by the author based mainly on the field of Mathematical Analysis. As a third aspect is the practical application of the three famous irrational numbers; these applications are presented in Mathematics itself, in Engineering, Physics, Biology, Statistics and other disciplines of knowledge. In each of the aspects -construction, demonstration and application- a clear resolution and explanation is presented in its resolutive approach and based on the graphic representation for a greater objectivity of the mathematical procedure.