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Jonathan Borwein, FRSC www.cs.dal.ca/~jborwein Canada Research Chair in Collaborative Technology Laureate Professor University of Newcastle, NSW Revised.

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Presentation on theme: "Jonathan Borwein, FRSC www.cs.dal.ca/~jborwein Canada Research Chair in Collaborative Technology Laureate Professor University of Newcastle, NSW Revised."— Presentation transcript:

1 Jonathan Borwein, FRSC 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 The 100 Digit--100 Dollar Challenge: An Introduction to Modern Numerical Analysis Revised 26/05/09 Part I:Part I: The 100 Digits Problems Challenge Part II:Part II:The Ten Symbolic Problems Challenge Part III:Part III:Integer Relation Methods Part IV:Part IV: Past Mathematical Models Part VPart V: Current Mathematical Models ReferenceReference: My 2006 Review of The SIAM 100 Digit Challenge in the Mathematical Intelligencer SIAMSIAM, 2004, xii+306pp Bornemann Website Bornemann Website

2 Revised 30/08/2008 An Introduction to Modern Numerical Analysis Revised 26/05/09 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.

3 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

4 Caveman Geometry (2001) Very cool for the one person with control - and very expensive: great genomic applications

5 Cost effective 3D visualization in 2007

6 19 th C model plus recent photograph and 21 st C rendition

7 A second plaster model 19 th C Plaster Model Kline and Schwartz


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