The 100 Digit--100 Dollar Challenge: An Introduction to Modern Numerical Analysis

Jonathan Borwein, FRSC www.cs.dal.ca/~jborwein Canada Research Chair in Collaborative Technology

Laureate Professor University of Newcastle, NSW

Revised 30/08/2008

The 100 Digit--100 Dollar Challenge: An Introduction to Modern

Numerical Analysis

Revised 20/05/09

Part I: The 100 Digits Problems ChallengePart II: The Ten Symbolic Problems ChallengePart III: Integer Relation MethodsPart IV: Past Mathematical ModelsPart V: Current Mathematical ModelsReference: My Review of The SIAM 100 Digit Challenge in the Intelligencer

Revised 30/08/2008

An Introduction to Modern Numerical Analysis

Revised 20/05/09

Abstract. Lists, challenges and competitions have a long and primarily lustrous history in mathematics. Consider the Hilbert and the Millennium problems. This is the story of a recent highly successful challenge. The book under discussion also makes it clear that with the continued advance of computing power and accessibility, the view that “real mathematicians don't compute” has little traction, especially for a newer generation of mathematicians who may readily take advantage of the maturation of computational packages such as Maple, Mathematica and Matlab.

Haptics and Light Paths

Haptic Devices extend the world of I/O into the tangible and tactile

Sensable’s Phantom Omni

Links multiple devices so two or more users may interact at a distance (BC/NS Demo 04/06)

• in Museums, Aware Homes, elsewhere• Kinesiology, Surgery, Music, Art …

To test latency issues …

2

1

D-DRIVE Doug a haptic mascot

Caveman Geometry (2001)Caveman Geometry

(2001)

Very cool for the one person with control - and very expensive: great genomic applications

Cost effective 3D visualization in 2007

19th C model plus recent

photograph and 21st C rendition

A second plaster model19th C Plaster ModelKline and Schwartz