Difference Equations to Difference Equations Section 2. 5 Some Consequences of Continuity

Book Id: WPLBN0000674716
Format Type: PDF eBook
File Size: 121.85 KB
Reproduction Date: 2005

Title:	Difference Equations to Difference Equations Section 2. 5 Some Consequences of Continuity
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Language:	English
Subject:	Science., Mathematics, Logic
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Citation APA MLA Chicago Difference Equations to Difference Equations Section 2. 5 Some Consequences of Continuity. (n.d.). Difference Equations to Difference Equations Section 2. 5 Some Consequences of Continuity. Retrieved from http://gutenberg.us/

Description
Mathematics document containing theorems and formulas.

Excerpt
Excerpt: In this section we consider two properties of functions which are very closely connected to the notion of continuity. The first of these, the Intermediate Value Theorem, says that the graph of a continuous function is a connected continuum in the sense of our normal intuition. That is, the theorem states that as a continuous function changes from one value to another, it must take on every intermediate value. The second theorem, the Extreme Value Theorem, says that a continuous function on a closed interval attains a maximum and a minimum value on that interval.