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MsNBC meets CECM: a 3.14 min movie
on Pi (67Mb - HUGE) and snapshots
Latest Computational Record (2002)
Previous Record
(1999)
"The Life of Pi"(Feb 2003, PDF)
and Favorite Math Constants

Talking about Pi:


Srinivasa
Ramanujan

(1887-1920)

SPEAKER:
Jonathan M. Borwein

Shrum Professor of Science, FRSC

Simon Fraser University
Burnaby BC, V5A 1S6
Canada


www.cecm.sfu.ca/personal/jborwein

Director
CECM


3 .14 15 92...

IS PROVABLY IRRATIONAL (PS & PDF),

AND IS VERY DEFINITELY NOT 22/7

(See also the Colour Calculator.)


TITLE: Pi and its computation

(May 1997 - Sept 1999, revised Dec 2002)

Why Pi?

ABSTRACT. The story of pi reflects the most seminal, the most serious and sometimes the silliest aspects of mathematics. A surprising amount of the most important mathematics and a significant number of the most important mathematicians have contributed to its unfolding -- directly or otherwise.

Pi is one of the few concepts in mathematics whose mention evokes a response of recognition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty five hundred years.

The computation of Pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. And to pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra and number theory. It offers a subject which provides mathematicians with examples of many current mathematical techniques as well as a palpable sense of their historical development.

From Pi: a Source Book by Berggren, Borwein and Borwein (1997).
(See also Mathland, August 2, 1997.)


MY TALK: will provide witness to many of these claims and will be presented partly over the Internet. Indeed, we will compute a hundred billion digits of Pi -- during the lecture.

As a start here are some Web Bios, a Pi Trivia Quiz and some LINKS:

My Pages

CECM Pages

Table of Computations

My Web Talks

Organic Mathematics

TheQuest for Pi (PS and PDF)
(`96, Intelligencer)

My Pi Pages

CECM Pi Pages

Ramanujan and Pi
(`88, MAA Monthly)


INTENDED OUTLINE OF TALK

(Net Godesses Willing: else "Math on Overheads")


  1. A "surfey" of these resources.

  2. The Three Ages of Pi explored organically. and Back to the Future (2002 Record) with arctans.

  3. Surprising new ideas on individual digits of Pi.

    Thus: 9C381872D27596F81...
    (10^11 hex: details of method)
    Trillion Digit Challenge and Result.
    SFU PiHex Project(quadrillionth bit).

  4. Recent pi records (8 billion), (200 billion), (1.24 trillion)
    plus machines and other constants.

    What about Brouwer's 0123456789?
    DETAILS!

  5. Any questions?? How may I "surf" you?

NINE HUNDRED DIGITS OF PI



SFU/CECM/~jborwein/. Last revised 15/12/02