Abstract: The universes, the matter, are finite, so there is a few in matter, which Democritus called an atom. The consequence of this is that, in mathematics that reflects matter, there is no limit tending to zero, so calculus is completely wrong! So, we need discrete mathematics, with differences that do not tend to zero.
There are two types of differences, two ways to express the difference of a variable in a function. In both ways we are led to different integrals and derivatives, which both ways of difference give. These have specific applications in physics and statistics and in the other sciences.
The results of discrete mathematics are very different from that of calculus, which was applied and bridges and spaceships fell and nuclear accidents occurred!
Discrete mathematics is the result of tight, consistent and realistic logic, which requires complete consistency with the existence of matter and its structure.
Keywords: discrete mathematics, bridges and spaceships fell, nuclear accidents, realistic logic.
Title: DERIVATIVES AND INTEGRALS OF DISCRETE MATHEMATICS
Author: ALEKOS CHARALAMPOPOULOS
International Journal of Mathematics and Physical Sciences Research
ISSN 2348-5736 (Online)
Vol. 10, Issue 2, October 2022 - March 2023
Page No: 47-51
Research Publish Journals
Website: www.researchpublish.com
Published Date: 01-January-2023
