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The Inverse Problem of the Calculus of Variations

Local and Global Theory

Dmitry V. Zenkov

978-94-6239-109-3

2015
Edition 1
- Unified exposition of the inverse variational problem for ordinary and partial differential equations and for equations on manifolds
- First systematic contribution to the global inverse problem of the calculus of variations based on modern differential geometry and algebraic topology
- Selected applications of the inverse problem in geometry, optimal control theory and modern theoretical physics (higher-order mechanics and general relativity)
- Prepares the reader for research in the local and global inverse problem using variational sequence theory and its consequences based on elementary sheaf theory
- Includes supplementary material: sn.pub/extras
€100

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