Visualization and the Fubini Principle

Authors

Professor Roger Nelsen, Department of Mathematics, Lewis and Clark College

Document Type

Presentation Abstract

Presentation Date

4-3-2000

Abstract

When you encounter a quadratic function, do you "see" a parabola? When you encounter 5² + 12² = 13², do you "see" a right triangle? In English, "to see" often means "to understand," and I maintain that this is frequently true in mathematics as well. To make this point, we will examine visually a combinatorial principle (Fubini), and in the process rediscover some interesting facts about sequences of 'figurate" numbers (squares, triangles, hexagons, cubes, etc.) and some of their partial sums.

Additional Details

Monday, 3 April 2000
4:10 p.m. in the Skaggs Building 114
Coffee/treats at 3:30 p.m. Math 104 (lounge)

Recommended Citation

Nelsen, Professor Roger, "Visualization and the Fubini Principle" (2000). Colloquia of the Department of Mathematical Sciences. 63.
https://scholarworks.umt.edu/mathcolloquia/63