From the reviews: "... Federer's timely and beautiful book indeed fills the need for a comprehensive treatise on geometric measure theory, and his detailed exposition leads from the foundations of the theory to the most recent discoveries. ... The author writes with a distinctive style which is both natural and powerfully economical in treating a complicated subject. This book is a major treatise in mathematics and is essential in the working library of the modern analyst."
Bulletin of the London Mathematical Society
Herbert Federer
Geometric measure theory Lebesgue integration Multiplication Tensor calculus calculus of variations classical analysis classical geometry form functional homology integration integration theory measure theory sets