The Calculus of Variations

• Main Author: Brunt, Bruce van (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2004.
• Series: Universitext
• Subjects: 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...

Table of Contents:

• 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.