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.

---

calculus of variations British  

noun

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

---

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

---

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 • Mar. 9, 2022

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

From BBC • Aug. 1, 2018

An earnest student, he devoted his increased leisure to redoubled efforts among differential equations, the calculus of variations, physical applications of mathematical theory.

From Time Magazine Archive

Little in mathematics beyond the elementary level of calculus of variations, and nothing at all about Banach algebra or Riemannian manifolds.

From "Flowers for Algernon" by Daniel Keyes

My most absorbing interests at the present time are etymologies of ancient languages, the newer works on the calculus of variations, and Hindu history.

From "Flowers for Algernon" by Daniel Keyes