Abstract
Let S be a set.
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Notes
- 1.
The dot product p ⋅x is defined as p 1 x 1 + p 2 x 2 + ⋯ + p n x n, which will be discussed in the chapter on linear algebra. The inequality means that total expenditure of a consumer on goods and services cannot exceed income M.
- 2.
The exponential function is also defined for complex numbers. But we shall not pursue the analysis here.
References
McLennan, A. (2014). Advanced fixed point theory for economics. Available at <http://cupid.economics.uq.edu.au/mclennan/Advanced/advanced_fp.pdf>.
Overbye, D. (2014). In the end, it all adds up to − 1∕12. The New York Times, February 3 issue.
Rosenlicht, M. (1968). Introduction to analysis. Scott, Foresman and Co. (1986 Dover edition).
Royden, H. L., & Fitzpatrick, P. M. (2010). Real analysis. Boston: Prentice Hall.
Rudin, W. (1976). Principles of mathematical analysis, Third edition. New York: McGraw-Hill.
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Yu, K. (2019). Basic Topology. In: Mathematical Economics. Springer Texts in Business and Economics. Springer, Cham. https://doi.org/10.1007/978-3-030-27289-0_3
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