Author(s)

Di Liu ¹

Affiliation(s)

¹ Qingdao Huanghai University, Qingdao, 266427, China

Corresponding Author

Di Liu

ABSTRACT

This paper aims to explore the application of mathematical analysis in solving economic problems, by deeply studying the crucial role of mathematical tools in establishing, analyzing, and optimizing economic models. Initially, we introduce the basic theoretical framework combining mathematical analysis with economics, emphasizing the importance of calculus, differential equations, and optimization theory in economic research. The article then demonstrates the practical application of mathematical analysis tools in solving real economic issues through three specific cases—consumer behavior analysis, market equilibrium model construction, and financial risk assessment. Through these case studies, this paper not only elucidates the application of mathematical analysis in economic theory but also showcases its potential in guiding economic policy-making and optimizing business decisions. Finally, the paper summarizes the prospects of mathematical analysis in the field of economics and suggests future research directions.

KEYWORDS

Mathematical Analysis, Economics, Calculus, Optimization Theory, Market Equilibrium, Financial Risk

CITE THIS PAPER

Di Liu, Application of Mathematical Analysis in Solving Practical Problems in Economics. Transactions on Computational and Applied Mathematics (2024) Vol. 4: 71-77. DOI: http://dx.doi.org/10.23977/tracam.2024.040110.

REFERENCES

[1] Yang Ya. Analysis on the Application of Higher Mathematics Modeling Thinking in Economics [J]. Science Technology and Economy Market. 2023(07): 41-43.
[2] Wang Xiaoqin, Zhang Kaixiang. Application of Mathematical Modeling Ideas in Accounting and Economics [J]. Investment and Cooperation. 2021(09): 220-221.
[3] Zhang Qiqing. Analysis of the Application of Mathematical Statistics in Modern Economic Management [J]. Administrative Assets and Finance. 2021(16): 56-57.
[4] Wu Chen. Analysis of the Important Role of Statistical Methods in Modern Economic Society [J]. China Township Enterprises Accounting. 2021(04): 170-171.
[5] Wang Haiyan, Wang Lin, Liu Ying. Innovation and Practice in Teaching the "Mathematical Analysis" Course [J]. Science and Technology Wind. 2024(06): 143-145. 
[6] Shi Shaoguang, Fu Zunwei, Guo Zheng, Wu Yan, Wu Yue. Construction and Practice of First-Class Mathematics Courses at Local Universities — A Case Study of Mathematical Analysis Course at Linyi University [J]. Journal of Higher Education. 2024,10(01): 8-12.

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