Can you suggest me a book in vector analysis which covers spherical and cylindrical coordinates. My professor discusses the calculation of volume, surface area and curve length, by integrating differential surface and volume elements in terms of cartesian, spherical and cylindrical coordinates. All the books I find in our library only uses cartesian. Curvilinear coordinates are introduced but not used much. I have the same problem with surface and line integrals. It would be better if the book uses all coordinate systems throughout the text.