Cambridge Tracts in Mathematics The Riemann Approach to Integration: Local Geometric Theory, Book 109, (Paperback)

This book presents a detailed and mostly elementary exposition of the generalized Riemann-Stieltjes integrals discovered by Henstock, Kurzweil, and McShane. Along with the classical results, it contains some recent developments connected with lipeomorphic change of variables and the divergence theorem for discontinuously differentiable vector fields.