The calculus of variations
著者
書誌事項
The calculus of variations
（Universitext）
Springer, c2004
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注記
Includes bibliographical references (p. [283]-285) and index
内容説明・目次
内容説明
Suitable for advanced undergraduate and graduate students of mathematics, physics, or engineering, this introduction to the calculus of variations focuses on variational problems involving one independent variable. It also discusses more advanced topics such as the inverse problem, eigenvalue problems, and Noether's theorem. The text includes numerous examples along with problems to help students consolidate the material.
目次
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.
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