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Based on "Coherent Calculus" (maths paper) by Nathan Coppedge.
Since economics is a social science, it involves a very complex world because it is people as an object of study and similar problems have to deal with other sciences. When evaluating a theory it is imperfect and it invariably happens with all the sciences, where the economy is no exception. In economic theory, the price variable is not the only variable to evaluate and there are other variables that are taken into account for purposes of calculating the demand for a good or service. The "esoteric" expression fit for disciplines that have no basis in reality, that is, do not go through that process of checking that has science, and why those devoted to science should be established well in its assertions since it is the future of the people involved. The difference between a science and engineering is the first explores the existing and engineering creates what has never existed, therefore, among other things, the mathematical part, the resemblance of the economy with physics. The characteristics of the policy difficult to implement economic contributions, given the influence of conflicts of interest in society. One of the advantages of economic theory is not very elaborate calculations required to arrive at an answer that will help us understand our complex world. Today the demands of society rather than making abstractions of logic type must be concrete actions that translate into greater well-being and future, with the help of software packages can facilitate the calculation given the complexity of the phenomena.
This paper is modeled as a hypothetical first lecture in a graduate Microeconomics or Mathematical Economics Course. We start with a detailed scrutiny of the notion of a utility function to motivate and describe the common patterns across Mathematical concepts and results that are used by economists. In the process we arrive at a classification of mathematical terms which is used to state mathematical results in economics. The usefulness of the classification scheme is illustrated with the help of a discussion of fixed-point theorems and Arrow's impossibility theorem. Several appendices provide a step-wise description of some mathematical concepts often used by economists and a few useful results in microeconomics.
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