1473 Words6 Pages

Pi: The Transcendental Number
The Greek symbol ԉ is used to denote an important mathematical constant. Simply put, it is the ratio of the circumference of a circle to its diameter. This ratio has been found to be constant, no matter what the size of the circle.
Pi is an Irrational Number, which means that it can’t be written as a fraction. It is an unending decimal number. The number 2/7, when written in the decimal form is also unending. But after 6 digits, it repeats itself. It is 0.285714285714285714…
An Irrational Number like Pi does not end and does not repeat itself. The exact value of Pi has remained a mystery since ancient times. Mathematicians, who have been trying to determine the value of Pi can only come closer and closer to the*…show more content…*

Pi Day is celebrated by math-lovers in the US on March 14. Which is 3/14 in the month day format that Americans use. 3/14 looks like 3.14, the simplest value of Pi that is used, get the logic? Some real fanatics even go to the extent of celebrating it exactly at 1-59 PM: 3.14159! Here are some more interesting facts about Pi: In an episode of the classic original Star Trek TV serial of the 1960s, Dr Spock is able to cripple a very powerful and evil computer by commanding it to calculate Pi to its last digit! Many movies have been made about Pi. In Pi: Faith in Chaos, a man goes mad trying to make sense of Pi. In the novel Contact by the cosmologist Carl Sagan (Cosmos was also made into a very successful film), humans study Pi to gain deeper awareness of the universe! In 1992, Lars Erickson, then an engineering student at the University of Nebraska in America, composed the Pi Symphony. He assigned numbers 0-9 to 10 musical notes, played the notes corresponding to first 32 digits of Pi and then built a symphony around this tune. ‘I prefer Pi’ is a palindrome, which means that it reads the same forward or*…show more content…*

The computer worked for 90 days to produce a world record 5 trillion digits (5,000,000,000,000), before it gave up and crashed. But that record lasted only for three years. In 2013, a researcher at the Santa Clara University in America calculated the value of Pi to 8 quadrillion digits (that’s 8 followed by 15 zeroes)! Who knows how long this record will last. But people have been trying to calculate Pi for thousands of years. This ratio has been recognized for as long as we have written records. A ratio 3:1 appears in a Biblical verse as well. Ancient Egyptians calculated the area of a circle using the formula (8d/9)2, where d is the diameter. This gives 3.1609 as the value of Pi. The first theoretical calculation of Pi was performed by the great Greek mathematician Archimedes of Syracuse, who lived in the 3rd century BCE. He took a circle. Then he drew a regular polygon inside the circle and one outside the circle. He began with a hexagon and went up to a polygon having 96 sides. He arrived at the following result: 223/71 ‹ π ‹ 22/7 (3.1408 < π < 3.1429) After this, things were more or less quiet for about 2000 years. Then European mathematicians got into the act, and started developing more and more complicated—but more accurate—ways to compute

Pi Day is celebrated by math-lovers in the US on March 14. Which is 3/14 in the month day format that Americans use. 3/14 looks like 3.14, the simplest value of Pi that is used, get the logic? Some real fanatics even go to the extent of celebrating it exactly at 1-59 PM: 3.14159! Here are some more interesting facts about Pi: In an episode of the classic original Star Trek TV serial of the 1960s, Dr Spock is able to cripple a very powerful and evil computer by commanding it to calculate Pi to its last digit! Many movies have been made about Pi. In Pi: Faith in Chaos, a man goes mad trying to make sense of Pi. In the novel Contact by the cosmologist Carl Sagan (Cosmos was also made into a very successful film), humans study Pi to gain deeper awareness of the universe! In 1992, Lars Erickson, then an engineering student at the University of Nebraska in America, composed the Pi Symphony. He assigned numbers 0-9 to 10 musical notes, played the notes corresponding to first 32 digits of Pi and then built a symphony around this tune. ‘I prefer Pi’ is a palindrome, which means that it reads the same forward or

The computer worked for 90 days to produce a world record 5 trillion digits (5,000,000,000,000), before it gave up and crashed. But that record lasted only for three years. In 2013, a researcher at the Santa Clara University in America calculated the value of Pi to 8 quadrillion digits (that’s 8 followed by 15 zeroes)! Who knows how long this record will last. But people have been trying to calculate Pi for thousands of years. This ratio has been recognized for as long as we have written records. A ratio 3:1 appears in a Biblical verse as well. Ancient Egyptians calculated the area of a circle using the formula (8d/9)2, where d is the diameter. This gives 3.1609 as the value of Pi. The first theoretical calculation of Pi was performed by the great Greek mathematician Archimedes of Syracuse, who lived in the 3rd century BCE. He took a circle. Then he drew a regular polygon inside the circle and one outside the circle. He began with a hexagon and went up to a polygon having 96 sides. He arrived at the following result: 223/71 ‹ π ‹ 22/7 (3.1408 < π < 3.1429) After this, things were more or less quiet for about 2000 years. Then European mathematicians got into the act, and started developing more and more complicated—but more accurate—ways to compute

Related

## Computer Number Crunching Case Study

2002 Words | 9 PagesAn order of events, that started in late 1994 and increasing into 1995, caused the world's biggest PC chipmaker embarrassment and spot the un-surprisingly dry subject of PC number-crunching on the front pages of significant newspapers. The events have their roots inside the effort of Thomas Nicely, a man of science at Lynchburg staff in Virginia, who was curious about twin primes (consecutive odd numbers like twenty-nine and thirty-one, that are every prime). Nicely's work comprises the distribution of double primes and, most importantly, the aggregate of its inverse S = 1/5 + 1/7 + 1/11 + 1/13 +1/17 + 1/19 + 1/29 + - + 1/p + 1/(p+2) + - . While, it's been recognized that the limitless aggregate S includes a limited esteem, it's not comprehended

## Case Study: Leonardo Da Pisa '

1859 Words | 8 Pages(Nikhat Parveen, 2013) Conclusion It is a pity that Fibonacci's work in number theory was almost wholly ignored and virtually unknown during the Middle ages and three hundred years later people only realise he was a genius. Fibonacci was one of the greatest mathematicians of the 12th and 13th centuries. He made significant contributions to mathematics through his own discoveries, and was instrumental in the revival of mathematical learning in Europe following the Dark Ages. (J J O'Connor and E F Robertson

## Essay On Trigonometry

1377 Words | 6 PagesSo we cannot say conclusively that trigonometry was born in Egypt. Greek Civilization The work that gave shape to modern trigonometry was done by Greek mathematicians. The father of trigonometry Hipparchus (190-120 BC) was the first to construct a table of values for trigonometric functions of different certain angles[ ]. Although he used geometrical formulas between various chords and its certain angles to calculate values but due to property of chord given below [ ] trigonometric formulas were known to him in equivalent chord form. However, later it was Ptolemy who modified the Hipparchus’s table into table of sine with angle ranging from

## Importance Of Pascal's Triangle

723 Words | 3 PagesThe Fibonacci sequence is a set of numbers that starts with the numbers one and one or zero and one and progresses based on the rule that each Fibonacci number is equal to the sum of the previous two numbers. The Fibonacci sequence appeared in in Indian mathematics hundreds of years before Fibonacci developed the sequence. In India the clearest explanation and description of the sequence came from the works of Virahanka (c. 700 AD), a prosodist who was known for his work on mathematics. The sequence discussed by Gopala around the year 1135 AD and by Acharya Hemachandra (1089-1172), a poet and polymath, in the year 1150. The Fibonacci sequence first appeared in a book called Liber Abaci published by Fibonacci in

## Difference Between Mendeleev And The Periodic Table

1021 Words | 5 PagesThere are many differences in between Mendeleev’s periodic table (that was first started in 1869) and today’s modern style periodic table. Mendeleev is known as the father of the periodic table. He had published a periodic table just five years after John Newlands had put forward his law of octaves. Mendeleev didn’t do all of the work on the periodic table though. He had some “help” from a few other scientists, chemists, and geologists.

## Fibonacci Roulette System Research Paper

757 Words | 4 PagesSome roulette players use a sequenced betting system. The set of numbers in the sequence determines the size of the bet in a system known as the Fibonacci roulette betting system. As you might have noticed, the name is taken from one of the greatest mathematicians of the Middle Ages. That's because this betting system is actually based on his homonymous number sequence—the Fibonacci numbers. A Bit of History Leonardo Fibonacci, also known as Leonardo of Pisa, presented to the world a sequence of numbers in his book Liber Abaci, in the year 1202.

## Rongorongo Script

1448 Words | 6 PagesWithout other written texts describing the same events or details, it is impossible to decipher how the language fully works or what each glyph means. The limited number of tablets, lack of contexts to relate them to, and the loss of the ancient language have proven to make deciphering the tablets difficult. Some experts think that Rongorongo is a proto-writing, a set of symbols used to convey information without containing words in an effort to aid in memory and not as a recording device. There is one segment of one tablet which is thought to be a celestial calendar, but even this is not entirely understood (Ager,

## Ancient Egyptian Mathematics

1608 Words | 7 PagesThey knew the general formula for the volume of a square based pyramidal frustum, V=1/3 h(b_1^2+b_1 b_2+b_2^2 ), where h is the height, b_1 is the side length of the base, and b_2 is the side length of the top square. They also knew the formula for the volume of a square based pyramid, by setting the side length of the top square equal to 0, getting V=1/3 hb_1^2. An interesting note is that to prove the formula for the pyramid, knowledge of calculus, and specifically an idea of continuity is required, meaning the Egyptians had no proof of this formula. (Weisstein, n.d.) This may come to no surprise though, as most of the Egyptians mathematics was based on practicality and applications, instead of generalizations and proofs. This would explain why they mistakenly used incorrect formula for quadrilaterals.

## Pierre De Fermat's Last Theorem

908 Words | 4 PagesHe determined that there was a finite amount of positive integers less than any given positive integer, which led to the proposition famously known as Fermat’s Last Theorem. In modern notation, this contends that if a, b and c are integers greater than 0, and if n is an integer greater than 2, then there are no solutions to the equation: an + bn = cn [3] . For instance, when n is equal to 1 or 2 there exists an infinite amount of integer solutions to the above equation. However, for n greater than or equal to 3, there are no natural numbers for which the statement is true. This equation could also be interpreted as a more general version of the Pythagorean Theorem, as both are concerned with the sums of squares of whole numbers.

## Jewish Literature Essay

803 Words | 4 PagesInvestigations of the history of Jewish literature have been possible, only during the last fifty years but in the course of this half –century, painstaking research has so actively been done that we can now gain at least a bird’s-eye view of the whole course of our literature. Jewish literature has developed organically, and in

### Computer Number Crunching Case Study

2002 Words | 9 Pages### Case Study: Leonardo Da Pisa '

1859 Words | 8 Pages### Essay On Trigonometry

1377 Words | 6 Pages### Importance Of Pascal's Triangle

723 Words | 3 Pages### Difference Between Mendeleev And The Periodic Table

1021 Words | 5 Pages### Fibonacci Roulette System Research Paper

757 Words | 4 Pages### Rongorongo Script

1448 Words | 6 Pages### Ancient Egyptian Mathematics

1608 Words | 7 Pages### Pierre De Fermat's Last Theorem

908 Words | 4 Pages### Jewish Literature Essay

803 Words | 4 Pages