The calculus of variations / Bruce van Brunt

Includes bibliographical references (pages [283]-285) and index

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 -- Analysis and differential equations -- Function spaces

"The book focuses on variational problems that involve one independent variable. The fixed endpoint problem and problems with constraints are discussed in detail. In addition, more advanced topics, such as the inverse problem, eigenvalue problems, separability conditions for the Hamilton-Jacobi equation, and Noether's theorem, are discussed. The text contains numerous examples to illustrate key concepts along with problems to help the student consolidate the material. The book can be used as a textbook for a one-semester course on the calculus of variations, or as a book to supplement a course on applied mathematics or classical mechanics."--Jacket