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Calculus of one Variable

Most calculus texts can be put into one of two classes. In the first class belong those books whose main concerns are the formal rules for differentiation and integration and their many applications to physics and geometry. By and large, these texts ignore the foundations of the subject and try to hide the intellectual and technical subtleties of the limit process, the real numbers, order of growth, and inequalities. The successful student emerges with a good technique for solving the standard problems that have made the calculus such an important subject. However, subtler applications are beyond him because the foundations have not been exposed to him.
In the second class belong those texts which treat the subject rigorously and emphasize the real number system, limits, and continuity. Unfortunately, this is so time-consuming that applications are slighted. As a result, the student gains little ability to solve problems and frequently has no insight as to why the concepts he has learned are important.

Từ khóa: Calculus of one Variable, Robert T.Seeley

9 p ovanke 21/07/2020 248 1

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