A fundamental tool for approximating currents with polyhedral chains.
If Federer is the encyclopedia, Morgan is the illustrated manual. It provides visual intuition and focuses on the "why" before diving into the "how." 2. Leon Simon’s "Lectures on Geometric Measure Theory" federer geometric measure theory pdf
This is the technical core of the book. It covers: starting with multilinear algebra.
However, owning the PDF is only 10% of the battle. The other 90% is the slow, painful, rewarding process of working through the proofs. Whether on a screen or on the legendary blue-bound paper, Federer’s Geometric Measure Theory is not a book you finish—it is a book you consult for a lifetime. federer geometric measure theory pdf
He builds the theory from the absolute ground up, starting with multilinear algebra.