Статьи

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

Том 4 № 57 (2026) 56-59

2026-06-11 Статьи CC BY 4.0 Open Access

Авторы

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

Аннотация

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.

Ключевые слова:

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

Библиографические ссылки

Stewart, J. Calculus: Early Transcendentals. Cengage Learning, 2016.

Apostol, T. M. Mathematical Analysis. Addison-Wesley, 1974.

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.

Загрузки

Опубликован

2026-06-11

Выпуск

Том 4 № 57 (2026)

Раздел

Статьи

Лицензия

Copyright (c) 2026 Innovative Academy RSC

Лицензия Creative Commons

Это произведение доступно по лицензии Creative Commons «Attribution» («Атрибуция») 4.0 Всемирная.

Как цитировать

Akhamadullaev, U. (2026). BASIC CONCEPTS OF MATHEMATICAL ANALYSIS: LIMIT, CONTINUITY, DERIVATIVE, AND INTEGRAL, AS WELL AS THEIR SCIENTIFIC AND PRACTICAL APPLICATIONS. Наука и инновации, 4(57), 56-59. https://www.in-academy.uz/index.php/SI/article/view/51933
Innovative Academy RSC
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