Elementary and Advanced Perspectives of Measurement and Ratio

When

March 30, 2018 | 2:30 - 3:30 p.m.

Where

Campbell Hall 443

Speaker

James Madden, Louisiana State University

Abstract

Measurement, ratio, and proportion are topics in elementary school mathematics, yet there are profound connections to current research in algebra and analysis, e.g., the theorem of Hölder on archimedean totally-ordered groups, the Yosida Representation Theorem for archimedean vector lattices, and my own work interpreting the Yosida Theorem in point-free topology. In this talk, I will trace the history of ratio from Eudoxus to "point-free Yosida", with stops along the way to examine interactions between academic mathematics and the mathematics taught in school.