Calculus of Variations
Autor Andrew Russell Forsythen Limba Engleză Paperback – 18 iul 2012
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Specificații
ISBN-13: 9781107640832
ISBN-10: 1107640830
Pagini: 680
Dimensiuni: 170 x 244 x 35 mm
Greutate: 1.07 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States
ISBN-10: 1107640830
Pagini: 680
Dimensiuni: 170 x 244 x 35 mm
Greutate: 1.07 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:New York, United States
Cuprins
Introduction; 1. Integrals of the first order: maxima and minima for special weak variations: Euler test, Legendre test, Jacobi test; 2. Integrals of the first order: general weak variations: the method of Weierstrass; 3. Integrals involving derivatives of the second order: special weak variations, by the method of Jacobi; general weak variations, by the method of Weierstrass; 4. Integrals involving two dependent variables and their first derivatives: special weak variations; 5. Integrals involving two dependent variables and their first derivatives: general weak variations; 6. Integrals with two dependent variables and derivatives of the second order: mainly special weak variations; 7. Ordinary integrals under strong variations, and the Weierstrass test: solid of least resistance: action; 8. Relative maxima and minima of single integrals: isoperimetrical problems; 9. Double integrals with derivatives of the first order: weak variations: minimal surfaces; 10. Strong variations and the Weierstrass test, for double integrals involving first derivatives: isoperimetrical problems; 11. Double integrals, with derivatives of the second order: weak variations; 12. Triple integrals with first derivatives; Index.
Descriere
This 1927 book constitutes Scottish mathematician Andrew Russell Forsyth's attempt at a systematic exposition of the calculus of variations.