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===[[Pi]]===
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===[[Calculus]]===
'''Pi''' is an [[irrational number]] (in fact, [[transcendental number]], as proved by Lindeman in 1882) denoted by the greek letter <math>\pi </math>. 
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The discovery of the branch of [[mathematics]] known as '''calculus''' was motivated by two classical problems: how to find the [[slope]] of the [[tangent line]] to a curve at a [[point]] and how to find the [[area]] bounded by a curveWhat is surprising is that these two problems are fundamentally connected and, together with the notion of limits, can be used to analyse instantaneous [[rate]]s of change, accumulations of change, [[volume]]s of irregular [[solid]]s, and... [[Calculus|[more]]]
 
 
Pi is the [[ratio]] of the [[circumference]] ([[perimeter]]) of a given [[circle]] to its [[diameter]].  It is approximately equal to 3.141592653.  The number pi is one of the most important [[constant]]s in all of mathematics and appears in some of the most surprising places, such as in the sum <math>\sum_{n=1}^\infty \frac{1}{n^2}=\frac{\pi^2}{6}</math>.  Some common... [[Pi|[more]]]
 
 
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Revision as of 19:03, 6 December 2007

Calculus

The discovery of the branch of mathematics known as calculus was motivated by two classical problems: how to find the slope of the tangent line to a curve at a point and how to find the area bounded by a curve. What is surprising is that these two problems are fundamentally connected and, together with the notion of limits, can be used to analyse instantaneous rates of change, accumulations of change, volumes of irregular solids, and... [more]