From equation to image: mathematical simulation and visualization in RStudio
DOI:
https://doi.org/10.64325/IJIP.v1i1.9Keywords:
scientific computing, mathematical models, RStudio, computational simulation, scientific visualizationAbstract
This article reflects on the role of computational simulation and mathematical visualization as central tools for exploring advanced models whose complexity, in many cases, exceeds traditional analytical treatment. It argues that, when implemented in R and developed within the RStudio environment, equations cease to operate solely as symbolic expressions and are transformed into dynamic systems amenable to computational experimentation. Through the generation of graphs, surfaces, networks, and three-dimensional representations, simulation allows for the interpretation of abstract structures, the identification of patterns, the analysis of stability, and the recognition of emergent behaviors. Within this framework, it is emphasized that visualization does not replace mathematical rigor but rather complements it by connecting theoretical formalization and perception, thus facilitating the appropriation of scientific knowledge.
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Copyright (c) 2024 Jesús Francisco Carpio Mendoza (Author)
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