Graphs of Functions

Definition (Graph of a Function of Several Variables) The graph of a function of several variables is the collection of all ordered -tuples such that is in the domain of and In three dimensions, the graph of is a surface in whose projection onto the -plane is the domain .

Example (Graphs of Functions of Two Variables) With a minimal learning curve the software packages Mathematica, Maple, MATLAB, and Derive all have the capability of producing great three dimensional graphics. Here are some examples of computer generated 3D graphs:  

Advanced Calculus Books

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