Experimental Mathematics Website
http://www.experimentalmath.info

<== This is a picture from the interactive geometry package Cinderella showing the behavior of 10,000 starting values in the rectangle [0,1]x[h-1,h+1], where h is the height of the horizontal line, after six iterations of the algorithm which reflects a point x in the sphere then reflects the outcome in the line and then averages the result y with x. It is an accessible prototype for a remarkable image reconstruction algorithm known variously as Douglas-Ratchford, Lion-Mercier, Fienup's method, and "divide-and-concur." Some related graphics can be generated and displayed at these URLs: Expansion Reflection (wait 30-60 seconds to see the display).

Quote of the day (refresh browser to select another):

[1] If nature has made any one thing less susceptible than all others of exclusive property, it is the action of the thinking power called an idea, which an individual may exclusively possess as long as he keeps it to himself; but the moment it is divulged, it forces itself into the possession of everyone, and the receiver cannot dispossess himself of it. [2] Its peculiar character, too, is that no one possesses the less, because every other possesses the whole of it. He who receives an idea from me, receives instruction himself without lessening mine; as he who lites his taper at mine, receives light without darkening me. [3] That ideas should freely spread from one to another over the globe, for the moral and mutual instruction of man, and improvement of his condition, seems to have been peculiarly and benevolently designed by nature, when she made them, like fire, expansible over all space, without lessening their density at any point, and like the air in which we breathe, move, and have our physical being, incapable of confinement, or exclusive appropriation. [4] Inventions then cannot, in nature, be a subject of property. -- Thomas Jefferson, letter to Issac McPherson (13 Aug 1813), in The Writings of Thomas Jefferson, quoted from Lawrence Lessig, The Future of Ideas by Lawrence Lessig, Random House, 2001, pg. 94.

The complete list of quotes is available here.

This website is a repository of information on experimental and computer-assisted mathematics. It is operated by

Material on this site is provided for research purposes only and does not necessarily reflect the views or policies of the authors' respective institutions or funding agencies. Please send any comments or questions for this site to:

NEW:

  1. The Second Edition of Mathematics by Experiment is now available! See Books for more details.
  2. An article summarizing recent work in experimental math has appeared in Spektrum der Wissenschaft, the German version of Scientific American. An English translation is available here: PDF
  3. The Math Drudge Blog is now online.

Math Drudge Blog

The new "Math Drudge" blog is now online. It contains essays, philosophical musings, interesting quotes and exercises, all in the realm of mathematics, computing and scientific research: Blog

Experimental Math Books

For details on the authors' books on experimental mathematics, see Books

News and Press Reports

For some recent news and press reports on topics in the general area of computer-assisted mathematics, see News

Courses

For information of courses and workshops in the area of experimental mathematics, see Courses

Papers

Here are some recent papers of ours in the area of experimental mathematics, plus a few others of interest: Papers

Presentations

Here are some recent presentations of ours in the area of experimental mathematics: Presentations

Software

For some freely downloadable software for experimental math research, see Software

Institutional Sites

For a list of websites of mathematical societies and journals in the general area of experimental and computational mathematics, see Institutional sites

Commercial Sites

For a list of websites of numerous commercial firms that offer mathematical software and (free) online tools, see Commercial sites

Non-Commercial Software and Tools

For a list of websites of non-commercial organizations that offer mathematical software and (free) online tools, see Non-commercial sites

Other Sites of Interest

For a list of numerous other websites with interesting and useful information relevant to mathematics in general and computational mathematics in particular, see Other sites

Acknowledgement of Support

Bailey's research has been supported in part by the Director, Office of Computational and Technology Research, Division of Mathematical, Information, and Computational Sciences of the U.S. Department of Energy, under contract number DE-AC02-05CH11231. Borwein's research is supported in part by MITACS, by the Australian Research Council and the University of Newcastle.