Federer Geometric Measure Theory Pdf May 2026

These are the GMT versions of the change-of-variables formula. They allow for the integration of functions over mappings between spaces of different dimensions.

Federer’s work was motivated by the desire to solve Plateau’s Problem: finding the surface of least area bounded by a given curve in higher dimensions. To do this, he moved beyond classical manifold theory into a world where "surfaces" could have singularities. federer geometric measure theory pdf

I can then recommend the specific chapters or supplementary notes that will be most helpful for your level! These are the GMT versions of the change-of-variables

E-book versions are available through major retailers for those who want a permanent, searchable digital copy. Modern Alternatives and Supplements federer geometric measure theory pdf