# calculus of variations

- the branch of mathematics that deals with the problem of finding a curve or surface that maximizes or minimizes a given expression, usually with several restrictions placed on the desired curve.

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## Origin of calculus of variations^{}

First recorded in 1830–40

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Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

## calculus of variations

- a branch of calculus concerned with maxima and minima of definite integrals

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Collins English Dictionary - Complete & Unabridged 2012 Digital Edition
© William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009, 2012

## calculus of variations

- 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. Compare differential calculus integral calculus.

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The American Heritage® Science Dictionary
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