Overview
- 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
Part of the book series: Atlantis Studies in Variational Geometry (ASVG, volume 2)
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Table of contents (6 chapters)
Keywords
About this book
Editors and Affiliations
Bibliographic Information
Book Title: The Inverse Problem of the Calculus of Variations
Book Subtitle: Local and Global Theory
Editors: Dmitry V. Zenkov
Series Title: Atlantis Studies in Variational Geometry
DOI: https://doi.org/10.2991/978-94-6239-109-3
Publisher: Atlantis Press Paris
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Atlantis Press and the author(s) 2015
Hardcover ISBN: 978-94-6239-108-6Published: 27 October 2015
eBook ISBN: 978-94-6239-109-3Published: 15 October 2015
Series ISSN: 2214-0700
Series E-ISSN: 2214-0719
Edition Number: 1
Number of Pages: IX, 289
Number of Illustrations: 3 illustrations in colour
Topics: Calculus of Variations and Optimal Control; Optimization, Global Analysis and Analysis on Manifolds, Differential Geometry, Classical and Quantum Gravitation, Relativity Theory