TY  - BOOK
AU  - Van Brunt,B.
TI  - The calculus of variations
T2  - Universitext
SN  - 0387402470
AV  - QA315 .V35 2006
PY  - 2006///
CY  - New York
PB  - Springer
KW  - Calculus of variations
N1  - 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
N2  - "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
ER  -