The Calculus of Variations

• Κύριος συγγραφέας: Brunt, Bruce van (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York, 2004.
• Σειρά: Universitext
• Θέματα: Mathematics.; Calculus of variations.; Calculus of Variations and Optimal Control; Optimization.

Thecalculusofvariationshasalonghistoryofinteractionwithotherbranches of mathematics such as geometry and di?erential equations, and with physics, particularly mechanics. More recently, the calculus of variations has found applicationsinother?eldssuchaseconomicsandelectricalengineering. Much of the m...

Πίνακας περιεχομένων:

• The First Variation
• Some Generalizations
• Isoperimetric Problems
• Applications to Eigenvalue Problems
• Holonomic and Nonholonomic Constraints
• Problems with Variable Endpoints
• The Hamiltonian Formulation
• Noether’s Theorem
• The Second Variation.