Before continuing on to the analysis of partial differential equations in three space dimensions, we should first review the fundamentals of three-dimensional vector calculus. The student is expected to have already encountered most of these topics in an introductory multi-variable calculus course. We shall be dealing with calculus on curves, surfaces and solid bodies in three-dimensional space...

The generalized fuzzy valued θ-Choquet integrals will be established for the given μ-integrable fuzzy valued functions on a general fuzzy measure space, and the convergence theorems of this kind of fuzzy valued integral are being discussed. Furthermore, the whole of integrals is regarded as a fuzzy valued set function on measurable space, the double-null asymptotic additivity and pseudo-double-...