The Centre for Experimental and Constructive Mathematics

Welcomes Mathcamp '97!


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The Centre for Experimental and Constructive Mathematics (CECM), a Simon Fraser University research centre within the Department of Mathematics and Statistics, is located at SFU's Burnaby Campus in British Columbia (Canada).

Its mandate is to explore and promote the interplay of conventional mathematics and modern computation. The Centre provides a sophisticated but easy to use computational environment for mathematical research. CECM's resources are available to all its members and, where possible, to other interested individuals both at Simon Fraser and elsewhere via associate memberships and the World Wide Web.

CECM Members


Dr. Borwein's Mathcamp Talks:

Click on the question mark for some information and things to think about regarding the talk.

1. The Interactive Pi Lecture

(A fully interactive HTML link.)

2. The Virtual Research Talk

(A 39 page PDF download or in postscript format.)




Some Links Related to Experimental Mathematics:

  1. Experimental Mathematics
  2. Click here for a statement of the philosophy of experimental mathematics by David Epstein, Silvio Levy, and Rafael de la Llave.

  3. The Visual Colour Calculator
  4. Can we use colour plots to help us discover or illustrate patterns in irrational numbers, sequences, continued fractions, or functions? What else can applying colour to our math give us?

  5. The Inverse Symbolic Calculator
  6. You've been working all night trying to simplify the equations that you developed to model the evolution of the elastic properties of Gummy Bears when they are left in the back of your school locker over a long period. It turns out that each of your equations depends on the same mysterious constant. Is this constant unique to your system or are your equations perhaps related to some more fundamental set of equations? Try the constant on the Inverse Symbolic Calculator and see what you get.

  7. Pascal's Triangle Visualization
  8. Here's a nice applet that helps you visualize the fractal patterns that occur when you colour the entries of Pascal's triangle based on division mod 'n'. Enter a value for 'n' between 2 and 16 and see what you get.

  9. Experimental Mathematics
  10. From the Organic Mathematics workshop, a statement about the philosophy of experimental mathematics with links to other sites concerning the history and philosophy of mathematics.

  11. Juggling Drops and Descents
  12. Interested in the mathematics of juggling? Take a look at this on-line and math activated version of an article by Joe Buhler and Ron Graham that originally appeared in the American Mathematical Monthly. (101, no.6, 1994, pp. 507-519)

  13. Roots of Polynomials Form Interface
  14. Enter a degree for your polynomial up to 16, and this interface will exercise a complex plane plot of the roots of all permutations of polynomials of that degree with coefficients of 0 and 1 or -1 and 1. Try it and you'll see for yourself!

  15. Mathematics and Art on the Web: A Sampler
  16. Mathematics and art have resonated with each other throughout history and the advent of computer graphics has introduced a new dimension to this relationship. Take a look at this collection.

  17. MathProbe demo
  18. This is a demo of an interactive math research tool that allows the user to manipulate the mathematical object that she's researching. (Click here for a demo of the university level version.)

  19. A Passion for Pi
  20. From Ivars Petersen's Mathland, an article about pi with a focus on memorization records. What do you think the current record is?


A collection of other related and interesting links:




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