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Vector Calculus

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Mathematical Economics

Part of the book series: Springer Texts in Business and Economics ((STBE))

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Abstract

In this chapter we introduce multivariate differential calculus, which is an important tool in economic modelling. Concepts developed in the previous chapters are applied to the Euclidean space, which is both a metric space and a normed vector space.

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Notes

  1. 1.

    See Rudin (1976, p. 213) for a proof.

  2. 2.

    See Exercise 6 at the end of the chapter.

  3. 3.

    The idea is due to Shivaji Koirala.

References

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  • Rudin, W. (1976). Principles of mathematical analysis, Third edition. New York: McGraw-Hill.

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  • Wickens, M. (2011). Macroeconomic theory: A dynamic general equilibrium approach, Second Edition. Princeton: Princeton University Press.

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Yu, K. (2019). Vector Calculus. In: Mathematical Economics. Springer Texts in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-27289-0_5

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