•Multivariate functions = simple generalization of a functions with one real variable to more real
variables
•Meaning of the words „more variables“ or „multivariate“ ?

Everything will be about the so-called mutlivariate functions
Does not answer what the word „multivariate“ actually means
Interpretation or convention?

Reformulate the name as the multi – dimensional calculus



How to visualize them?



•Transformations: reflection, translation, rotation, composition…



•Contour lines, where the size of the output is proportional to the given color



The 3D response surface and 2D contour plots showing the effects of... | Download Scientific
Diagram How to coherently combine 3D and contour plots with pgfplots - TeX - LaTeX Stack Exchange


Parametric surfaces