Who were the first to calculate the value of Pi?

Question

A Sloka in the 10th book of Rig Veda appears to be written
for praising Lord Indra. The technical translation of that
Sloka gives the value of pi up to 28 digits accurately. It
is not until the invention of the computers that the
western mathematicians could get this value up to 16
digits accurately. Here is a test for those who think that
a computer can do any calculation. Use the fastest
computer available to you and write a program to calculate
the value of pi up to 28 digits accurately. You will know
how difficult it is. Paavuloori Mallana of 12th century
posed the classical Chess board problem - put one grain in the
first box, double that number in the next box, and so on.
How many grains do you have to put in the last box?
Mallana calculated the value of 2 to the power 63 and gave the answer as 18446744073709551615.
Can you get this value on any computer you know?
Who invented numbers? The Indians. The
ancient Romans did not know the number zero.

The last digit in the answer for the chess problem
should be 4 - it was a typing mistake.

Answer 1

Pi history

Click on the URL below for additional incormation concerning Pi

www-groups.dcs.st-and.ac.uk/~history/.../Pi_through_the_ages.html

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Answer 2

A lot of older Indian mathematics was written in a way that diod not make it easy to transmit. Aglebra problems were often written up in poetry, but Indians have never really fallen beghind in mathematics. The numbers called "Arabic" numbers today were introduced to Europe by Fibonacci andhe he always referred to them as "Hindu" numbers. Madhava of Sangamagrama (1350-1425) gave examples of the "Taylor" and "Macalurin" Power series long before Calclus had been "invented" -- he also gave an approximation of pi (which was demonstrated). The Kerala School took it from there, and even continued into the latter days of the Raj.

Answer 3

Pi is an irrational quantity, like the sq. root of two. this suggests that it can't be represented by using a fragment and its decimal representation in no way is composed of a repeating quantity (like .1666666666). On supercomputers they have calculated pi out to over a million digits, yet no person is usual with of the top value of pi and no person ever will. Like a prior answerer suggested, it incredibly is the circumference divided by using the diameter, yet that's fullyyt a definition in geometric words.

Answer 4

Yes taht is true.And do u know that the numbers from India spread to other countries due to Britians?

and u told that Mallanna calculated the value of 2^63 as 18446744073709551615. Can u tell me why there is 5 at hte end of the number.I think u know that 2*x=y/2 is an even number.

Answer 5

Most programming languages support long integers (2^32). Since the value you may try to compute is well over that limit, you may consider creating an array of long integers along with a special set of methods to handle addition/multiplication. I had written a program like this in college many years ago. You can probably find details for it on the internet.

Answer 6

Often William Jones' book A New Introduction to Mathematics from 1706 is cited as the first text where the Greek letter π was used for this constant, but this notation became particularly popular after Leonhard Euler adopted it some years later (cf History of π).


[edit] Early approximations
Main article: History of numerical approximations of π
The value of π has been known in some form since antiquity. As early as the 19th century BC, Babylonian mathematicians were using π = 25⁄8, which is within 0.5% of the true value.

The Egyptian scribe Ahmes wrote the oldest known text to give an approximate value for π, citing a Middle Kingdom papyrus, corresponding to a value of 256 divided by 81 or 3.160.

It is sometimes claimed that the Bible states that π = 3, based on a passage in 1 Kings 7:23 giving measurements for a round basin as having a 10 cubit diameter and a 30 cubit circumference. Rabbi Nehemiah explained this by the diameter being from outside to outside while the circumference was the inner brim, which gives an approximate value of ~3.14; but it may suffice that the measurements are given in round numbers.


Principle of Archimedes' method to approximate πArchimedes of Syracuse discovered, by considering the perimeters of 96-sided polygons inscribing a circle and inscribed by it, that π is between 223⁄71 and 22⁄7. The average of these two values is roughly 3.1419.

The Chinese mathematician Liu Hui computed π to 3.141014 in AD 263 and suggested that 3.14 was a good approximation.

The Indian mathematician and astronomer Aryabhata in the 5th century gave the approximation π = 62832⁄20000 = 3.1416, correct when rounded off to four decimal places. He also acknowledged the fact that this was an approximation, which is quite advanced for the time period.

The Chinese mathematician and astronomer Zu Chongzhi computed π to be between 3.1415926 and 3.1415927 and gave two approximations of π, 355⁄113 and 22⁄7, in the 5th century.

The Indian mathematician and astronomer Madhava of Sangamagrama in the 14th century computed the value of π after transforming the power series expansion of π⁄4 into the form


and using the first 21 terms of this series to compute a rational approximation of π correct to 11 decimal places as 3.14159265359. By adding a remainder term to the original power series of π⁄4, he was able to compute π to an accuracy of 13 decimal places.

The Persian astronomer Ghyath ad-din Jamshid Kashani (1350–1439) correctly computed π to 9 digits in the base of 60, which is equivalent to 16 decimal digits as:

2π = 6.2831853071795865
By 1610, the German mathematician Ludolph van Ceulen had finished computing the first 35 decimal places of π. It is said that he was so proud of this accomplishment that he had them inscribed on his tombstone.

In 1789, the Slovene mathematician Jurij Vega improved John Machin's formula from 1706 and calculated the first 140 decimal places for π, of which the first 126 were correct [1], and held the world record for 52 years until 1841, when William Rutherford calculated 208 decimal places of which the first 152 were correct.

The English amateur mathematician William Shanks, a man of independent means, spent over 20 years calculating π to 707 decimal places (accomplished in 1873). In 1944, D. F. Ferguson found that Shanks had made a mistake in the 528th decimal place, and that all succeeding digits were incorrect. By 1947, Ferguson had recalculated pi to 808 decimal places (with the aid of a mechanical desk calculator).

Answer 7

If Vedas are True, so Indians were undoubtly the first to have calculated Pi value.

Answer 8

yep, Indians were way ahead of d west in math and science
but we fell back... developemnt slowed down rapidly, and the west developed very fast. and so, the British Raj came upon us

Answer 9

the first to calculate pi were the indians,who also invented the numeral 0.(MOHENJO-DARO)

Answer 10

r u mad.
how can 2^63 have a 5 at the units place??????????????