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Patrick Ahern

Pi. Patrick Ahern. This is what the symbol for pi looks like. Introduction. Rounded to 3.14 Has a national holiday on March 14 th One of the most recognized symbols to mathematicians Irrational Transendental -is not a root for any number. Uses. Used to find the area of circles

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Patrick Ahern

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  1. Pi Patrick Ahern

  2. This is what the symbol for pi looks like.

  3. Introduction • Rounded to 3.14 • Has a national holiday on March 14th • One of the most recognized symbols to mathematicians • Irrational • Transendental-is not a root for any number.

  4. Uses • Used to find the area of circles • Volume of cylinders • Surface area of cylinders • Circumference of circles • Area of only part of a circle

  5. History • Values of pi in different cultures-Babylonians - 3 1/8, Egyptians - (16/9)^2, Chinese - 3, Hebrews-3 • Archimedes approximated his value of π to about 22/7, which is still a common value today. • Egyptians and Greeks used it first.

  6. Random Facts • 16th letter of the Greek alphabet • The symbol for pi (π) has been used regularly in its mathematical sense only for the past 250 years. • We can never truly measure the circumference or the area of a circle because we can never truly know the value of pi. • Albert Einstein was born on Pi Day.

  7. Important Contributors • Archimedes- approximated pi to 22/7 • David H. Bailey29 million and 10 billion'th hexadecimal with all methods. • FabriceBellard50 and 100 billion'th hexadecimal with BBP algorithm. • Jonathan M. BorweinA.G.M. with quartic algorithm. • Peter B. Borwein10 billion'th hexadecimal with BBP algorithm. A.G.M. with quartic algorithm. • G.V. Chudnovsky and D.V. Chudnovsky1, 2 and 4 billion with Chudnovsky formula. By March 1996, more than 8 billion digits have been calculated. • William Gosper17.5 million digits with Ramanujan formula. • Guilloud and Bouyer250,000, 500,000, 1 million and 2 million with arctan formulas.. • Daniel Shanks and John Wrench Jr. 100,265 in 1961 with arctan formulas. • YasumasaKanada2 million and 10 million decimal with arctan method, 100 million hexadecimal digits with A.G.M. and the other records from 4 million decimal in 1982 up to 6,442,000,000 decimal in 1995 with A.G.M. methods. • Simon Plouffe10 billion'th hexadecimal with BBP algorithm. • Daisuke Takahashi 100 million hexadecimal digits with A.G.M. and 3.2 billion, 4.2 billion and 6.4 billion decimal with A.G.M. methods.

  8. Q and A Q-Does Pi ever end? A- No, Pi is a never ending, non-repeating decimal. Q-How old is Pi? A- Pi is the 16th letter in the greek alphabet. The oldest recorded history is from 1900-1680 BCE, on a Babylonian tablet. Q- What is the world record for most digits of pi recited? A-Chao Lu of China recited 67,890 decimal places on 20 November 2005.

  9. Contributing Cultures/countries • China-most digits recited • Japan-most digits discovered by supercomputer • Egyptians-Great Pyramid at Giza has a ratio of 1760/280, perimeter to height. That ratio is equal to 2(pi) • Flemish mathematician Adriaan van Roomen arrived at 15 decimal places in 1593.

  10. Bibliography- Special Thanks to: • http://mathworld.wolfram.com/Pi.html • http://www.math.com/tables/constants/pi.htm • http://library.thinkquest.org/C0110195/uses/uses.html • http://facts.randomhistory.com/2009/07/03_pi.html • http://www.pi-world-ranking-list.com/news/index.html • http://oldweb.cecm.sfu.ca/projects/ISC/people.html • http://ualr.edu/lasmoller/pi.html • http://en.wikipedia.org/wiki/Pi

  11. Thanks For Watching!!!

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