Calculus of several variables
The principal inquiries in Social Science may be viewed as maximum problems. For Economics investigates the arrangements between agents each tending to his own maximum utility, and Politics and (Utilitarian) Ethics investigates the arrangements which conduce to the maximum sum total of utility. Since, then, Social Science, as compared with the Calculus of Variations, starts from similar data — loose quantitative relations — and travels to a similar conclusion — determination of maximum — why should it not pursue the same method, Mathematics?
KeywordsPartial Derivative Stationary Point Boundary Point Positive Real Number Tangent Plane
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- There are countless mathematics textbooks which discuss functions and differential calculus. Baumol (1977) provides a useful discussion of calculus methods as does Chiang (1984).Google Scholar