Computational analysis of the Schwarz's Theorem

lunedì, Gennaio 11th, 2021

Schwarz's Theorem,partial derivative

In this handbook we face the famous Schwarz's theorem from the graphical-computational point of view. Precisely, after having studied the behavior of the mixed derivatives of the second order of an assigned function, demonstrating their non-continuity, we proceed graphically (with Mathematica) in order to dramatically highlight the singularity of the single derivatives.


Schwarz’s theorem

Numerical example

Analysis with Mathematica