: Before reading this node, it is highly recommendable to have some notion of calculus
. Please be familiar with calculus or the contents of that node before reading further.
Simply put, multivariable calculus is the study of calculus with more than one independent variable
. Vector calculus
depends heavily on multivariable calculus. Often times, when this subject is taught, only the two-variable case is dealt with, and "these result
to as many variables as you may be working with" is a common mantra
The notion of 'derivative
' is replaced with 'directional derivative
s become easier. See Green's Theorem
for specific function
becomes available as an area of study. Concept
s like irrotational
Since I took my time about updating this w/u, another, admittedly better, one has appeared. I think my generalizations and the other's specifics are a good combination, so I won't try to re-do all the work already done.