Pi Theory

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Introduction:
Pi is an incredibly essential number in our world, without it there would be a lack of innumerable things that have come to be necessary in our daily lives. We would not have the knowledge we have now about the celestial paths in our solar system and beyond. For common people, pi is the circumference of a circle divided by its diameter but there is so much more to this number. It is an irrational and transcendental number who has mathematicians’ interest peaked.
It is not possible to precisely tell who first became conscious of this number. There are writings from 35000 years ago that reveal the knowledge of a concept closely related to pi. According to Beckmann in his book A History of Pi, in order to understand how in 2000 B.C. the concept of pi and its significance more or less clearly arrived to human minds “we must return into the stone age and beyond, and into realm of speculation” (Beckmann, 1971). Pi is the circumference of a circle divided by its diameter.
1st Point: Early History
Ancient civilizations were starting to realize that in fact there was a fixed a ratio for a circle’s circumference to its diameter. There are some indications that the architects of the pyramids knew about the concept of pi, this is believed due to the fact that the dimensions of these pyramids gives us a value of two times pi. Egyptians did not have the exact value but perhaps an approximate value of pi to being 3. According to Exploratorium’s “A Brief History Pi” section, there is a papyrus which portrays Egyptian’s attempt to calculate pi. This papyrus is known as The Rhind Papyrus (Ca. 1650 BC), which contains how Egyptians used a formula to approximate a value of 3.1605 for pi.
As reported by Allen in his art...

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...icated and it was formed “on a continued fraction for the tanx function.” (Constant, 2014). Later on, in 1794 pi squared was also proved to be irrational by mathematician Legendre. It was not until 1882, that German mathematician Ferdinand von Lindemann proved pi to be transcendental. According to Wolfram MathWorld, a transcendental number is “a number that is not the root of any integer polynomial, meaning that it is not an algebraic number of any degree.” Steve Mayer writes in his article “The Transcendence of Pi” that the proof that indicates pi to be transcendental is not commonly known even though it is not difficult.
More Formulas for Pi and the Surge of Computers Allowment
In the 20th century various mathematicians had come up with new ways to represent pi. One of India’s greatest mathematician, Srinivasa Ramanujan proved the following representation of pi

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