Functions of 3 (or more) Variables

Section 3.4 Functions of 3 (or more) Variables

Although we won't do much with them in this course it is possible to define (real valued) functions in

n

variables where

n

is any natural number, that is functions of the form

f : R^{n} \to R .

The function $f (x, y, z) = x^{2} + y^{2} + z^{2}$ is a function of the form $f : R^{3} \to R$ .

The function $f (w, x, y, z) = 2 w x^{2} + y z + \frac{w}{(x + z)}$ is a function of the form $f : R^{4} \to R$ .

Of course, for such functions geometric representations are somewhat impractical.