**12**

**Calculus of variations**

How to find stationary values of functions of a single variable *f* (*x*), of several variables *f* (*x, y, . . .*) and of constrained variables, where *x, y, . . .* are subject to the *n* constraints *g _{i}*(

We now turn to a different kind of problem in which we are interested in bringing about a particular condition for a given expression (usually maximizing or minimizing it) by varying the *functions* on which the expression depends. For instance, we might want ...

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