The Calculus of Variations
N.I. Akhiezer(Author)
Harwood-Academic Publishers
1st Edition
Published on 1. January 1988
Book
Hardback
280 pages
978-3-7186-4805-4 (ISBN)
Description
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,
More details
Language
English
Place of publication
Chur
Switzerland
Target group
College/higher education
Weight
454 gr
ISBN-13
978-3-7186-4805-4 (9783718648054)
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Schweitzer Classification
Content
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.