HISTORY AND THEORETICAL FOUNDATIONS OF THE DEVELOPMENT OF COMPUTATIONAL METHODS
Keywords:
Computational mathematics, Al-Khwarizmi, algorithm, algebra, trigonometric functions, mathematical tables, numerical methods, functional space, operator, inverse problem, direct problem, iterative method, mathematical physics, Gauss' method, linear algebraic equations, computer-aided computing, Ulugbek Academy, number π, historical mathematicians, mathematical model, applied mathematics.Abstract
Computational mathematics was formed based on practical needs from ancient civilizations and developed using mathematical tables, equations, and numerical methods. Muhammad ibn Musa Al-Khwarizmi played a major role as the founder of algorithms and algebra. The Ulugbek Academy in Samarkand is known as a center of computation. Modern computational mathematics is concerned with the effective solution of complex mathematical problems, the creation of efficient and rational algorithms. This field is aimed at developing computational methods that are implemented using computers as an alternative to classical mathematical methods.
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