Functions of Several Variables
摘要
We now turn to the analysis of functions of several variables. We therefore consider functions \(f: D \to W\) with \(D \subseteq {\mathbb R}^n\) and \(W \subseteq {\mathbb R}^m\) for natural numbers m and n. To this end, we first show with numerous examples, what types of such functions can still be illustrated. Finally, we generalise open and closed intervals, sequences and limits of sequences to the vector space \({\mathbb R}^n\) and finally explain the continuity of functions of several variables analogous to the case of a function of one variable.