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Applications of Multivariable Calculus in Economics

In: Economic Analysis Through Mathematics

Author

Listed:
  • Zrinka Lukač

    (University of Zagreb, Faculty of Economics & Business)

Abstract

Economics is the study of how individuals, businesses, and governments make decisions under conditions of scarcity. These decisions often involve optimizing certain outcomes—maximizing utility, minimizing costs, or maximizing profits—subject to various constraints like limited resources, budget restrictions, or technological capabilities. In this part we have seen the indispensable role of multivariable calculus in providing the mathematical framework for understanding and modeling these complex economic relationships. By extending the concepts of derivatives and optimization to functions of several variables, we have obtained powerful tools which enable us to analyze intricate interdependencies, derive optimal strategies, and predict economic behavior more accurately. From understanding consumer preferences and firm production decisions to modeling macroeconomic growth and policy interventions, the principles of multivariable calculus are foundational to modern economic theory and empirical analysis. Throughout this part of the book, we have already seen many applications in economics, however in this section we still review them and list some more applications.

Suggested Citation

  • Zrinka Lukač, 2026. "Applications of Multivariable Calculus in Economics," Springer Texts in Business and Economics, in: Economic Analysis Through Mathematics, chapter 19, pages 457-466, Springer.
    • Handle: RePEc:spr:sptchp:978-3-032-08812-3_19
    DOI: 10.1007/978-3-032-08812-3_19
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