Calculus of Variations

Richard Courant and Fritz John
Additional contact information
Richard Courant: New York University, Courant Institute of Mathematical Sciences
Fritz John: New York University, Courant Institute of Mathematical Sciences

Chapter Chapter 7 in Introduction to Calculus and Analysis, 1989, pp 737-768 from Springer

Abstract: Abstract In the theory of ordinary maxima and minima of a differentiable function f(x1…, x n )of n independent variables, the necessary condition (pp. 326–7) for the occurrence of an extreme value at a point of the domain of f is 1 $$df = 0{\text{ or grad }}f = 0{\text{ or }}{f_{xi}} = 0{\text{ }}\left( {i = 1, \ldots ,n} \right)$$ .

Keywords: Stationary Character; Admissible Function; Geodesic Segment; Important Special Case; Subsidiary Condition (search for similar items in EconPapers)
Date: 1989
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-8958-3_7

Ordering information: This item can be ordered from
http://www.springer.com/9781461389583

DOI: 10.1007/978-1-4613-8958-3_7

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().