Calculus of Variations - Brossura

Forsyth, Andrew Russell

Brossura

ISBN 10: 1107640830 ISBN 13: 9781107640832

Casa editrice: Cambridge University Press, 2012

Riassunto

This 1927 book constitutes Scottish mathematician Andrew Russell Forsyth's attempt at a systematic exposition of the calculus of variations.

Su questo libro

Descrizione del libro

Andrew Russell Forsyth (1858–1942) was a Scottish mathematician notable for incorporating the advances of Continental mathematics within the British tradition. This book constitutes Forsyth's attempt at a systematic exposition of the calculus of variations, and an antidote to a perceived lack of continuity in the development of the topic.

Contenuti

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.

Dettagli dell'edizione

• Editore: Cambridge University Press
• Data di pubblicazione: 2012
• Lingua: Inglese
• ISBN 10: 1107640830
• ISBN 13: 9781107640832
• Rilegatura: Copertina flessibile
• Numero di pagine: 678
• Contatto del produttore: non disponibile
• Persona responsabile: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; Francia