THEORETICAL FOUNDATIONS AND SPECIFICITY OF MATHEMATICAL MODELLING

New concepts about the infinite numbers and functions and their application in modeling technological and mathematical problems

  • 1 Applied Mathematics and Computers Laboratory (AMCL), Technical University of Crete, Chania, Crete, Greece

Abstract

In this paper more theory and examples about the infinite numbers and functions that were introduced in a previous paper is presented. These numbers and functions apply in modeling physical and mathematical systems and processes, where infinity somehow appears, i.e. series of numbers, limits calculation, kinematics problems, infinite expansion of certain universe geometric shapes. By strictly applying the theory of limits of functions, more properties of the infinite numbers which are limits of complex functions tending to infinity, are defined. The mirror infinite numbers and some properties of them are also demonstrated and presented. Furthermore, infinite geometric shapes whose sides are infinite numbers, as triangles, circles, spheres and ellipsoids are defined and used in modeling theoretical and technological problems.

Keywords

References

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