Herbert Federer's Geometric Measure Theory is the foundational, encyclopedic treatise of the field. While it is a primary reference for researchers, it is notoriously dense and difficult for newcomers. Overview of Federer's Treatise
For those finding the original text dense, the Stanford University Lecture Notes by Leon Simon are a standard modern alternative. 🔬 Core Concepts federer geometric measure theory pdf
is the definitive, foundational treatise of the field, originally published in 1969 by Springer-Verlag. foundational treatise of the field
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 geometric measure theory pdf