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Introduction to Global Variational Geometry, Volume 16 (North-Holland Mathematical Library) - Hardcover
Synopsis
This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups.
The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field.
Featured topics
- Analysis on manifolds
- Differential forms on jet spaces
- Global variational functionals
- Euler-Lagrange mapping
- Helmholtz form and the inverse problem
- Symmetries and the Noether's theory of conservation laws
- Regularity and the Hamilton theory
- Variational sequences
- Differential invariants and natural variational principles
- First book on the geometric foundations of Lagrange structures
- New ideas on global variational functionals
- Complete proofs of all theorems
- Exact treatment of variational principles in field theory, inc. general relativity
- Basic structures and tools: global analysis, smooth manifolds, fibred spaces
"synopsis" may belong to another edition of this title.
Review
This work presents a unified account of all the mathematical techniques used to date. It is presented in an intelligible manner and is designed as both introductory textbook for the beginner and reference book for the expert engineer and mathematician. The book is divided into sections which can be used as a basis for an elementary course on coding theory for mathematicians, a second course for mathematicians, an elementary first course for engineers, and a second course for engineers. The remainder is directed towards the experts in the subject and is suitable for advanced courses and seminars. An abundance of problems is included, as well as a number of unsolved problems suitable for use in research projects as topics for study.
Engineering Societies Library
This text provides a thorough coverage of mathematical techniques applicable to this subject. The set can serve as a text for advanced students or as a reference work for the practitioner.
New Technical Books
"About this title" may belong to another edition of this title.
- PublisherElsevier Science
- Publication date1977
- ISBN 10 0444850104
- ISBN 13 9780444850102
- BindingHardcover
- Edition number1
- Number of pages500
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Theory of Error-correcting Codes: v. 2
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No jacket. Condition: Très bon. Ancien livre de bibliothèque. Sans jaquette. Edition 1977. Tome 2. Ammareal reverse jusqu'à 15% du prix net de cet article à des organisations caritatives. ENGLISH DESCRIPTION Book Condition: Used, Very good. Former library book. No dust jacket. Edition 1977. Tome 2. Ammareal gives back up to 15% of this item's net price to charity organizations. Seller Inventory # D-619-468
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Introduction to Global Variational Geometry, Volume 16 (North-Holland Mathematical Library)
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