The importance of mathematics in data structure: optimization and efficiency

Abstract

Introduction: This article explores the importance of mathematics in data structure, a fundamental concept in the field of computer science. Data structures are used to organize and store information efficiently, and mathematics provides the theoretical foundations necessary for their design and optimization. Through concrete examples and case studies, it is shown how mathematical concepts, set theory, combinatorics, and probability, are essential to develop efficient data structures and solve complex problems. Objectives: This article highlights the inseparable relationship between mathematics and data structure, and how its mastery is fundamental to achieve efficient and optimized programming. Methodology: This article is based on qualitative research through the bibliographic review of documents that support the veracity of the information extended in each of them, the collection of data focuses on the search for scientific articles in journals such as SciELO, Elseiver Dialnet, Skopein, among others, books around mathematics. Conclusions: mathematics plays a fundamental role in data structure in the field of computer science, efficient and optimized data structures are essential for the development of high-performance software. General area of study: Mathematics. Specific area of study: Programming and computer science.