ISOPERIMETRIC PROBLEMS IN THE VARIATIONAL CALCULUS OF EULER AND LAGRANGE

被引：8

作者：

FRASER, CG ^{[1
]}

机构：

[1] UNIV TORONTO,VICTORIA COLL,INST HIST & PHILOSOPHY SCI & TECHNOL,TORONTO M5S 1K7,ONTARIO,CANADA

来源：

HISTORIA MATHEMATICA | 1992年 / 19卷 / 01期

关键词：

HISTORY OF ANALYSIS; CALCULUS OF VARIATIONS; ISOPERIMETRIC PROBLEM; EULER RULE; LAGRANGE MULTIPLIER; PROBLEM OF LAGRANGE;

D O I：

10.1016/0315-0860(92)90052-D

中图分类号：

N09 [自然科学史]; B [哲学、宗教];

学科分类号：

01 ; 0101 ; 010108 ; 060207 ; 060305 ; 0712 ;

摘要：

Historians have documented the main development of the calculus of variations in the 18th century. Although we have a clear overall picture of this subject there is in the literature no connected historical account of the more specialized research carried out during the period on problems of extremization under constraint. Concentrating on the work of Leonhard Euler and Joseph Louis Lagrange between 1738 and 1806, the present study attempts to identify and draw together the different threads that make up this story. © 1992.

引用

页码：4 / 23

页数：20

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