Education, Science, Technology, Innovation and Life
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### Application of Mathematical Analysis in Solving Practical Problems in Economics

DOI: 10.23977/tracam.2024.040110 | Downloads: 2 | Views: 82

Di Liu 1

#### Affiliation(s)

1 Qingdao Huanghai University, Qingdao, 266427, China

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.

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