English

The calculus of variations [electronic resource]

The Calculus of Variations Author: Bruce van Brunt Published by Springer New York ISBN: 978-0-387-40247-5 DOI: 10.1007/b97436 Table of Contents: Introduction 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 · Includes bibliographical references (pages 283-285) and index · Preface -- Introduction -- 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 -- Appendix A: Some Results from Analysis and Differential Equations -- Appendix B: Function Spaces -- References -- Index · The calculus of variations has a long history of interaction with other branches of mathematics, such as geometry and differential equations, and with physics, particularly mechanics. More recently, the calculus of variations has found applications in other fields such as economics and electrical engineering. Much of the

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