URL: http://www.jonhoyle.com/MAASeaway/200904

 
Introduction to Surreal Numbers, Jonathan Hoyle, MAA Seaway Section, April 4, 2009 2:00 PM Building 8, Room 2355

[Slides (HTML)] [Slides (PDF)] [Paper (HTML)] [Paper (PDF)] [Slides of Paper Presentation] [Other MAA Seaway Spring 2009 sessions]

 

Conference:

Spring 2009 Conference of the Mathematical Association of America Seaway Section, hosted by the Rochester Institute of Technology Mathematics Department, April 3-4, 2009.

 

Abstract:

Surreal numbers are a superset of the real number line, including infinite and infinitesimal values. Although it shares many properties of other extensions of the reals, it has a number of unique and very powerful features, including being the "largest" possible extension of R. The purpose of this talk is to give a brief overview of the surreals, and demonstrate how Calculus would look in this intriguing number system..

  

Link to online Presentation

Link to Infinitesimals in Modern Mathematics

Link to online Presentation of paper

Download Presentation introduction [PDF format, 1.6 MB]

Download Infinitesimals in Modern Mathematics [PDF format, 225K]

 

Link to Fall 2011 Seaway page on Forensic Mathematics and the World Trade Center Project

Link to Spring 2008 Seaway page on Counter-Intuitive Results from the Hyper-reals

Link to Fall 2007 Seaway page on Infinitesimals in Modern Mathematics

 

Contact:

For more information, contact me at jonhoyle@mac.com