THE NUMBER PI( π )
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THE NUMBER PI(π) Andrea Gudelj, Odjel za matematiku Osijek, lipanj, 2013.
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THE NUMBER PI( π ). Andrea Gudelj, Odjel za matematiku Osijek, lipanj, 2013. A brief history about PI. Egyptians and the Babylonians knew about the existence of the constant ratio pi Before the 15th century, Archimedes and Liu Hui – geometry - PowerPoint PPT Presentation
Transcript of THE NUMBER PI( π )
THE NUMBER PI(π)Andrea Gudelj, Odjel
za matematikuOsijek, lipanj, 2013.
A brief history about PI• Egyptians and the
Babylonians knew about the existence of the constant ratio pi
• Before the 15th century, Archimedes and Liu Hui – geometry
• 15th century, new algorithms based on infinite series
A brief history about PI• 20th century – the developmet of computer revolutionized the hunt for digits of π• After 1980 – iterative algorithms were widely used
What is pi actually?• a mathematical
constant that is the ratio of a circle's circumference to its diameter
• an irrational and transcendental number
• has been represented by the Greek letter "π" since the mid-18th century
• can be represented by an infinite series of nested fractions – continued fraction
Approximate decimal value:• 3.141592653589793238462643383279502884197169399375105820974944592
3 0781640628620899862803482534211706798214808651328230664709384460 9550582231725359408128481117450284102701938521105559644622948954 9303819644288109756659334461284756482337867831652712019091456485 6692346034861045432664821339360726024914127372458700660631558817 4881520920962829254091715364367892590360011330530548820466521384 1469519415116094330572703657595919530921861173819326117931051185 4807446237996274956735188575272489122793818301194912983367336244 0656643086021394946395224737190702179860943702770539217176293176 7523846748184676694051320005681271452635608277857713427577896091 7363717872146844090122495343014654958537105079227968925892354201 9956112129021960864034418159813629774771309960518707211349999998 3729780499510597317328160963185950244594553469083026425223082533 4468503526193118817101000313783875288658753320838142061717766914 7303598253490428755468731159562863882353787593751957781857780532 171226806613001927876611195909216420198 ...
Used in...
• Geometry and trigonometry
• Statistic, fractals, thermodynamics, mechanics, cosmology, ...
Outside the science
• Memorizing digits of pi (pipshilology)• Many schools in the United States observe Pi
Day on 14 March
• “Probably no symbol in mathematics has evoked as much mystery, romanticism, misconception and human interest as the number pi.”William L. Schaaf, Nature and History of Pi
