Difference Equations to Difference Equations Section 4. 1 the de Nite Integral

Book Id: WPLBN0000674726
Format Type: PDF eBook:
File Size: 0.2 MB
Reproduction Date: 2005

Title:	Difference Equations to Difference Equations Section 4. 1 the de Nite Integral
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Language:	English
Subject:	Science., Mathematics, Logic
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Citation APA MLA Chicago Difference Equations to Difference Equations Section 4. 1 the de Nite Integral. (n.d.). Difference Equations to Difference Equations Section 4. 1 the de Nite Integral. Retrieved from http://gutenberg.us/

Description
Mathematics document containing theorems and formulas.

Excerpt
Excerpt: As we discussed in Section 1.1, and mentioned again at the beginning of Section 3.1, there are two basic problems in calculus. In Chapter 3 we considered one of these, the problem of finding tangent lines to curves in the plane; we are now ready to turn to the second, quadrature, the problem of finding the area of a region in the plane. Although at first these problems would seem to have no connection, in Section 4.3 we shall see that Fundamental Theorem of Calculus relates them in an interesting and useful way. This theorem, first fully utilized by Newton and Leibniz, reveals that the problem of quadrature involves reversing the process of differentiation; as a consequence, the facility we developed in Chapter 3 for handling derivatives will be very helpful in many basic quadrature problems.