ECON 1530 Lecture Notes - Joule, Market Clearing, Pythagoras

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ECON 1530 Full Course Notes
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ECON 1530 Full Course Notes
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A function from a to b is a rule that assigns to each element of the set a, one and only one element of the set b. In economics we are invariably focused on the way one vari- able e ects another: this is a special case of a function. Since these functions are usually represented by numbers, let"s rst consider what we mean by numbers. Natural numbers the counting numbers 1, 2, 3, . Rational numbers: are those that can be represented as the ratio of two integers. It appears as though the rational num- bers should ll up the space between any two numbers on the number line. There are always holes , an in nite number of which exist between any two rational num- bers. Otherwise put, there exist numbers which are not the ratio of two integers. 2, but there does not exist p, and q such that: thus, we introduce irrational numbers.

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