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Introduction to global variational geometry. Volume 1 /
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,...
| Clasificación: | Libro Electrónico |
|---|---|
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Amsterdam :
Elsevier Science,
1993.
|
| Colección: | North-Holland mathematical library ;
177. |
| Temas: | |
| Acceso en línea: | Texto completo Texto completo |
MARC
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| 020 | |a 9780444533289 |q (electronic bk.) | ||
| 020 | |a 0444533281 |q (electronic bk.) | ||
| 020 | |z 9780444530462 | ||
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| 050 | 4 | |a QA670 | |
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| 245 | 0 | 0 | |a Introduction to global variational geometry. |n Volume 1 / |c edited by Demeter Krupka. |
| 264 | 1 | |a Amsterdam : |b Elsevier Science, |c 1993. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a North-Holland mathematical library ; |v 177 | |
| 520 | |a 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. | ||
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 650 | 0 | |a Global differential geometry. | |
| 650 | 0 | |a Fiber spaces (Mathematics) | |
| 650 | 6 | |a G�eom�etrie diff�erentielle globale. |0 (CaQQLa)201-0121919 | |
| 650 | 6 | |a Espaces fibr�es (Math�ematiques) |0 (CaQQLa)201-0006713 | |
| 650 | 7 | |a Fiber spaces (Mathematics) |2 fast |0 (OCoLC)fst00923610 | |
| 650 | 7 | |a Global differential geometry |2 fast |0 (OCoLC)fst00943477 | |
| 700 | 1 | |a Krupka, D., |e editor. | |
| 776 | 0 | 8 | |i Print version: |a Krupka, D. |t Introduction to global variational geometry |z 9780444530462 |w (OCoLC)219989137 |
| 830 | 0 | |a North-Holland mathematical library ; |v 177. | |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/book/9780444533289 |z Texto completo |
| 856 | 4 | 0 | |u https://sciencedirect.uam.elogim.com/science/bookseries/03040208/177 |z Texto completo |