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In its simplest form the domain is all the values that go into a function, and the range is all the values that come out. Please read " What is a Function? Example: this tree grows 20 cm every year, so the height of the tree is related to its age using the function h :. Now, what comes out the Range depends on what we put in the Domain In fact the Domain is an essential part of the function.
Mathematics, Form and Function is a survey of the whole of mathematics , including its origins and deep structure, by the American mathematician Saunders Mac Lane. Throughout his book, and especially in chapter I. The following table is adapted from one given on p. The rows are very roughly ordered from most to least fundamental. For a bullet list that can be compared and contrasted with this table, see section 3 of Where Mathematics Comes From.
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Functions, Transformations, and Groups. Saunders Mac Lane. Pages PDF · Concepts of Calculus. Saunders Mac Lane. Pages PDF.
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