An Ordered Approach to Calculus

Abstract: This talk is an update on my ongoing project on the foundations of analysis. I will explain how extensions of maps between posets can be used as a unifying principle to conceptually understand basic notions such as limits, continuity, integrals, derivatives, and Dedekind cuts. If time permits, I will show how this approach leads to new proofs of familiar theorems.

mathematical physicsanalysis of PDEsclassical analysis and ODEscategory theorycomplex variablesfunctional analysislogicmetric geometryoptimization and control

Audience: researchers in the topic

VCU ALPS (Analysis, Logic, and Physics Seminar)

Series comments: Description: Research seminar on topics ranging from analysis and logic to mathematical physics.

Meetings will be conducted over Zoom:

Meeting ID: 951 0562 0974

The password is 10 characters, consisting of the name of the ancient Greek mathematician who wrote "Elements" (first letter capitalized) followed by the first 4 primes.