Definition of Calculus of variations

1. Noun. The calculus of maxima and minima of definite integrals.

Category relationships: Math, Mathematics, Maths
Generic synonyms: Calculus, Infinitesimal Calculus

Definition of Calculus of variations

1. Noun. (calculus) The form of calculus that deals with the maxima and minima of definite integrals of functions of many variables ¹

¹ Source: wiktionary.com

Lexicographical Neighbors of Calculus Of Variations

calculational
calculations
calculative
calculator
calculators
calculatory
calculi
calculiform
calculifrage
calculist
calculosis
calculous
calculus
calculus I
calculus II
calculus of variations (current term)
calculuses
calcurmolite
calcyclin
calcyphosin
caldaria
caldarium
caldecrin
caldendrin
caldera
calderas
calderite
calderites
calderonite
caldesmon

Literary usage of Calculus of variations

Below you will find example usage of this term as found in modern and/or classical literature:

1. Report of the Annual Meeting (1860)
"In the problems with which the calculus of variations is concerned, ... The calculus of variations has thus become a simple application of the differential ..."

2. Advanced Calculus: A Text Upon Select Parts of Differential Calculus by Edwin Bidwell Wilson (1912)
"In general the value of / will depend on the path C of integration ; the problem of the calculus of variations is to find that path which will make fa ..."

3. The Positive Philosophy of Auguste Comte by Auguste Comte, Frederic Harrison (1896)
"Calculus of Variations. By his Calculus or Method of Variations, Lagrange improved the capacity of the transcendental analysis for the establishment of ..."

4. Development of Mathematics in the 19th Century by Felix Klein, Robert Hermann (1979)
"INTRODUCTION The calculus of variations was one of the main subjects of the 19th century. No doubt this was linked to the importance of analytical mechanics ..."

5. A Treatise on the Differential Calculus with Numerous Examples. by Isaac Todhunter (1878)
"calculus of variations. Maxima and Minima of integrals involving one dependent variable with, fixed limits. 347. THE theory of maxima and minima values of ..."

6. The Advanced Part of A Treatise on the Dynamics of a System of Rigid Bodies by Edward John Routh (1884)
"... CHAPTER X. APPLICATIONS OF THE calculus of variations. Principles of Least Action and Varying Action. 442. Two fundamental equations. ..."

7. A Treatise on the Integral Calculus: With Applications, Examples, and Problems by Joseph Edwards (1922)
"calculus of variations. (SECTION I.) 1482. To ascertain the greatest or least values of which a given function is susceptible under specific conditions, ..."

8. An Introduction to the Use of Generalized Coördinates in Mechanics and Physics by William Elwood Byerly (1916)
"APPENDIX B THE calculus of variations 1. The calculus of variations owed its origin to the attempt to solve a very interesting class of problems in maxima ..."

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