Geometric measure theory. Repr. of the 1969 ed. (English) Zbl 0874.49001

Federer, Herbert

Classics in Mathematics. Berlin: Springer-Verlag. xvi, 680 p. (1996).

See the reviews of the original edition (1969) in Zbl 0176.00801 and of the Russian translation (1987) in Zbl 0634.49001.

MSC:

49-01	Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control
49Q15	Geometric measure and integration theory, integral and normal currents in optimization
28A75	Length, area, volume, other geometric measure theory
58A15	Exterior differential systems (Cartan theory)
58A25	Currents in global analysis
49Q20	Variational problems in a geometric measure-theoretic setting
58C35	Integration on manifolds; measures on manifolds

Keywords:

Grassmann (exterior) algebra; measure and integration; rectifiability; Lipschitzian maps; homological integration; differential forms; currents; flat chains; integral flat chains; minimizing currents; calculus of variations; regularity; textbook

Citations:

Zbl 0176.00801; Zbl 0634.49001