The history of the concept of a function
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There is at present no single generally accepted definition of the concept of a function. The views of different mathematicians on this concept and the methods of introducing it diverge. We shall illustrate this in the present section. Before doing so we remark that there is also no single way of denoting the concept under consideration. The word function is most often used for this purpose, but the word mapping is quite common, and the terms operator, operation, transformation, and several others are used in various senses. Sometimes other connotations are given to nearly all of these terms.
KeywordsNineteenth Century General Concept Eighteenth Century Variable Quantity Functional Dependence
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