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Title: Foundations of Differential CalculusĪuthor(s): Leonhard Euler, John D.

This characteristic difference is not required by the nature of things, but rather because of the special question addressed by the calculus. We note this distinction and call the former constant quantities and the latter variables. Although every quantity can naturally be increased or decreased without limit, still, since calculus is directed to a certain purpose, we think of some quantities as being constantly the same magnitude, while others change through all the stages of increasing and decreasing. In the first place, this calculus is concerned with variable quantities. For this reason, it is not possible to understand a definition before its principles are sufficiently clearly seen. Besides those ideas in common usage, there are also others from finite analysis that are much less common and are usually explained in the course of the development of the differential calculus. It is not that there is no clear definition of this calculus rather, the fact is that in order to understand the definition there are concepts that must first be understood. Nor can we here offer a definition at the beginning of this dissertation as is sometimes done in other disciplines. What differential calculus, and, in general, analysis of the infinite, might be can hardly be explained to those innocent of any knowledge of it. Need Help?įoundations of Differential Calculus written by

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