BASIC CONCEPTS OF MATHEMATICAL ANALYSIS: LIMIT, CONTINUITY, DERIVATIVE, AND INTEGRAL, AS WELL AS THEIR SCIENTIFIC AND PRACTICAL APPLICATIONS

Authors

  • Akhamadullaev Umidillo Khayrullo ugli Andijan State University Faculty of Physics, Mathematics, and Computer Science Applied mathematics direction 1 - stage 102 - group student Author

DOI:

https://doi.org/10.5281/zenodo.20637601

Keywords:

Mathematical analysis, limit, continuity, derivative, integral, function, differential calculus, mathematical modeling.

Abstract

This article illuminates the fundamental concepts of mathematical analysis—limit, continuity, derivative, and integral—along with their theoretical foundations and practical applications. Mathematical analysis is an essential branch of modern mathematics, serving as a primary tool for the mathematical representation and analysis of real-world processes.

References

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Rudin, W. Principles of Mathematical Analysis. McGraw-Hill, 1976.

Kolmogorov, A. N., Fomin, S. V. Elements of the Theory of Functions and Functional Analysis. Dover Publications, 1999.

Kreyszig, E. Advanced Engineering Mathematics. Wiley, 2011.

Zorich, V. A. Mathematical Analysis. Springer, 2004.

Husanov, T. Foundations of Mathematical Analysis. Tashkent, National University of Uzbekistan Press, 2018.

Nasriddinov, A. Higher Mathematics (Parts I–II). Tashkent, “O‘qituvchi” Publishing House, 2015.

Isroilov, M. I. Course of Mathematical Analysis. Tashkent, Science and Technology Publishing House, 2012.

Jumayev, S. Higher Mathematics and Its Applications. Tashkent, 2020.

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Published

2026-06-11

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Section

Articles

How to Cite

Akhamadullaev, U. (2026). BASIC CONCEPTS OF MATHEMATICAL ANALYSIS: LIMIT, CONTINUITY, DERIVATIVE, AND INTEGRAL, AS WELL AS THEIR SCIENTIFIC AND PRACTICAL APPLICATIONS. Science and Innovation, 4(57), 56-59. https://doi.org/10.5281/zenodo.20637601
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