An Introduction to Multivariable Analysis from Vector to Manifold

The subject of multivariable analysis is of interest to pure and applied mathematicians, physicists, electrical, mechanical and systems engineers, mathematical economists, biologists, and statisticians. This introductory text provides graduate students and researchers in the above fields with various ways of handling some of the useful but difficult concepts encountered in dealing with the machinery of differential forms on manifolds. The approach here is to make such concepts as concrete as possible.