Integration, homology and cohomology

Abstract

To start from commonly familiar ground, the Euclidean space Rn is considered. Let x=x (x1,..., x n) be Cartesian coordinates in Rn so that the volume element (measure) is τ = dx 1...dxn, a real number equal to the volume of an n -dimensional brick with edge lengths dx i. © 2010 Springer-Verlag Berlin Heidelberg.