The calculus of variations
著者
書誌事項
The calculus of variations
Harwood Academic Publishers, c1988
- タイトル別名
-
Lekt︠s︡ii po variat︠s︡ionnomu ischislenii︠u︡
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注記
Translation of: Lekt︠s︡ii po variat︠s︡ionnomu ischislenii︠u︡
Includes bibliographical references and index
内容説明・目次
内容説明
An authoritative text on the calculus of variations for first-year graduate students. From a study of the simplest problem it goes on to cover Lagrangian derivatives, Jacobi's condition, and field theory. Devotes considerable attention to direct methods and the Sturm-Liouville problem in a finite interval. Contains numerous interesting and challenging exercises plus five appendices on important results, generalizations, and applications of the material,
目次
- The simplest problem
- lagrangian derivatives
- canonical variables
- field theory
- Jacobi's condition
- the simplest problem in parametric form
- problems on a conditional extremum
- the direct method for nonparametric problems
- the Sturm-Liouville problem
- the direct method for a problem in parametric form
- two-demensional problems
- the generalized dirichlet problem for a linear equation of elliptic type
- S.N.Bernshtein's principle
- geodesic lines on a triaxial ellipsoid
- Poincare's theorem on periodic extremals
- E.Noether's theorem on invariant functionals.
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