The branch of mathematics that tries to determine a function so as to satisfy specified conditions and to maximize (or minimize) a quantity which depends on the function.
Webster's New World
Mathematical analysis of the maxima and minima of definite integrals, the integrands of which are functions of independent variables, dependent variables, and the derivatives of one or more dependent variables.
Calculus Of Variations Sentence Examples
At the age of nineteen he communicated to Leonhard Euler his idea of a general method of dealing with "isoperimetrical" problems, known later as the Calculus of Variations.
The calculus of variations lay undeveloped in Euler's mode of treating isoperimetrical problems. The fruitful method, again, of the variation of elements was introduced by Euler, but adopted and perfected by Lagrange, who first recognized its supreme importance to the analytical investigation of the planetary movements.
The calculus of variations is indissolubly associated with his name.
Furthermore it can be shown by the application of the calculus of variations that the condition for a minimum value of the function W, is that vV = o.