MATRICES, VECTOR, DIFFERENTIAL AND INTEGRAL, SOME OPERATIONS PERFORMED ON THEM
Keywords:
matrix, vector, derivative, integral, linear algebra, analysis, mathematical modeling.Abstract
This article analyzes the fundamental concepts of linear algebra and mathematical analysis — matrices, vectors, derivatives, and integrals — as an interconnected system. The study highlights their theoretical and practical applications in mathematical modeling, engineering, economics, and physics, as well as the main operations performed on them. The results demonstrate that these four mathematical concepts form a unified mathematical foundation for modern science and technology.References
Cayley, A. (1858). A memoir on the theory of matrices. Philosophical Transactions of the Royal Society.
Gibbs, J. W. (1901). Vector Analysis. Yale University Press.
Newton, I. (1687). Philosophiae Naturalis Principia Mathematica. London.
Leibniz, G. W. (1684). Nova Methodus pro Maximis et Minimis. Acta Eruditorum.
Leontief, W. (1941). The Structure of the American Economy, 1919–1929. Harvard University Press.
Qodirov, A. (2019). Iqtisodiy jarayonlarni modellashtirishda differensial va integral hisobning o‘rni. TMI nashriyoti.
Mamatqulov, S. (2021). Matritsalar va vektorlarning zamonaviy qo‘llanilishi. O‘zbekiston Milliy Universiteti jurnali.
Stewart, J. (2016). Calculus: Early Transcendentals. Cengage Learning.
Strang, G. (2019). Linear Algebra and Its Applications. MIT Press.
Lay, D. (2020). Linear Algebra and Differential Equations. Pearson Education.
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