Роль вищої математики у створенні ефективних алгоритмів

Abstract

The paper examines the role of higher mathematics in the development of effective algorithms in the field of information technology. The influence of mathematical methods on the optimization of algorithmic solutions is analyzed, particularly in the implementation of smooth movement and rotation of objects in two-dimensional space. It is shown that the use of analytical and parametric models allows for reduced computational complexity of algorithms and improved controllability and accuracy. The paper also highlights problems that arise from insufficient mastery of higher mathematics apparatus, which lead to excessive complexity in software implementation and reduced algorithm efficiency..