Federer Geometric Measure Theory Pdf Jun 2026

: Those pursuing advanced research in geometric analysis or calculus of variations.

Rigorous treatment of Hausdorff measure, Radon measures, and Carathéodory's construction. federer geometric measure theory pdf

The crown jewel. Currents are linear functionals on differential forms. They generalize: : Those pursuing advanced research in geometric analysis

Federer introduced currents as generalized surfaces. Technically, they are continuous linear functionals on the space of differential forms. This allows mathematicians to use tools from functional analysis to solve geometric problems. federer geometric measure theory pdf

I will not link directly here. However, searching on for "Federer Geometric Measure Theory" will likely yield a scanned copy. Be aware of your local copyright laws. Most pure mathematicians turn a blind eye to personal non-commercial use of such scans, but that does not make it legal.