calculus of variations

American  

noun

1. 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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calculus of variations British  

noun

1. a branch of calculus concerned with maxima and minima of definite integrals

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calculus of variations Scientific  

1. 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.

2. Compare differential calculus integral calculus

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Etymology

Origin of calculus of variations

First recorded in 1830–40

Example Sentences

Her 1913 result on the calculus of variations, leading to Noether’s Theorem is considered one of the most important theorems in mathematics—and one that shaped modern physics.

From Scientific American

Some problems are ill-posed: the fourth problem is sometimes described as “too vague to have a solution,” and the 23rd problem is just “Further development of the methods of the calculus of variations.”

From Scientific American

He is an expert on calculus of variations and partial differential equations.

From BBC

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 ∇V = 0.

From Project Gutenberg

There is no differential calculus, no Taylor's theorem, no calculus of variations, &c. in mathematics.

From Project Gutenberg