The geometry of jet bundles:
The purpose of this book is to provide an introduction to the theory of jet bundles for mathematicians and physicists who wish to study differential equations, particularly those associated with the calculus of variations, in a modern geometric way. One of the themes of the book is that first-order...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1989
|
| Schriftenreihe: | London Mathematical Society lecture note series
142 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | The purpose of this book is to provide an introduction to the theory of jet bundles for mathematicians and physicists who wish to study differential equations, particularly those associated with the calculus of variations, in a modern geometric way. One of the themes of the book is that first-order jets may be considered as the natural generalisation of vector fields for studying variational problems in field theory, and so many of the constructions are introduced in the context of first- or second-order jets, before being described in their full generality. The book includes a proof of the local exactness of the variational bicomplex. A knowledge of differential geometry is assumed by the author, although introductory chapters include the necessary background of fibred manifolds, and on vector and affine bundles. Coordinate-free techniques are used throughout, although coordinate representations are often used in proofs and when considering applications |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (293 pages) |
| ISBN: | 9780511526411 |
| DOI: | 10.1017/CBO9780511526411 |
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| 490 | 0 | |a London Mathematical Society lecture note series |v 142 | |
| 500 | |a Title from publisher's bibliographic system (viewed on 05 Oct 2015) | ||
| 520 | |a The purpose of this book is to provide an introduction to the theory of jet bundles for mathematicians and physicists who wish to study differential equations, particularly those associated with the calculus of variations, in a modern geometric way. One of the themes of the book is that first-order jets may be considered as the natural generalisation of vector fields for studying variational problems in field theory, and so many of the constructions are introduced in the context of first- or second-order jets, before being described in their full generality. The book includes a proof of the local exactness of the variational bicomplex. A knowledge of differential geometry is assumed by the author, although introductory chapters include the necessary background of fibred manifolds, and on vector and affine bundles. Coordinate-free techniques are used throughout, although coordinate representations are often used in proofs and when considering applications | ||
| 650 | 4 | |a Jet bundles (Mathematics) | |
| 650 | 4 | |a Geometry, Differential | |
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| author_facet | Saunders, D. J. 1964- |
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| dewey-full | 516.3/62 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.3/62 |
| dewey-search | 516.3/62 |
| dewey-sort | 3516.3 262 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511526411 |
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| id | DE-604.BV043941631 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9780511526411 |
| language | English |
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| spelling | Saunders, D. J. 1964- Verfasser aut The geometry of jet bundles D.J. Saunders Cambridge Cambridge University Press 1989 1 online resource (293 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 142 Title from publisher's bibliographic system (viewed on 05 Oct 2015) The purpose of this book is to provide an introduction to the theory of jet bundles for mathematicians and physicists who wish to study differential equations, particularly those associated with the calculus of variations, in a modern geometric way. One of the themes of the book is that first-order jets may be considered as the natural generalisation of vector fields for studying variational problems in field theory, and so many of the constructions are introduced in the context of first- or second-order jets, before being described in their full generality. The book includes a proof of the local exactness of the variational bicomplex. A knowledge of differential geometry is assumed by the author, although introductory chapters include the necessary background of fibred manifolds, and on vector and affine bundles. Coordinate-free techniques are used throughout, although coordinate representations are often used in proofs and when considering applications Jet bundles (Mathematics) Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd rswk-swf Jetbündel (DE-588)4498250-1 gnd rswk-swf Jetbündel (DE-588)4498250-1 s Differentialgeometrie (DE-588)4012248-7 s 1\p DE-604 Erscheint auch als Druckausgabe 978-0-521-36948-0 https://doi.org/10.1017/CBO9780511526411 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Saunders, D. J. 1964- The geometry of jet bundles Jet bundles (Mathematics) Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd Jetbündel (DE-588)4498250-1 gnd |
| subject_GND | (DE-588)4012248-7 (DE-588)4498250-1 |
| title | The geometry of jet bundles |
| title_auth | The geometry of jet bundles |
| title_exact_search | The geometry of jet bundles |
| title_full | The geometry of jet bundles D.J. Saunders |
| title_fullStr | The geometry of jet bundles D.J. Saunders |
| title_full_unstemmed | The geometry of jet bundles D.J. Saunders |
| title_short | The geometry of jet bundles |
| title_sort | the geometry of jet bundles |
| topic | Jet bundles (Mathematics) Geometry, Differential Differentialgeometrie (DE-588)4012248-7 gnd Jetbündel (DE-588)4498250-1 gnd |
| topic_facet | Jet bundles (Mathematics) Geometry, Differential Differentialgeometrie Jetbündel |
| url | https://doi.org/10.1017/CBO9780511526411 |
| work_keys_str_mv | AT saundersdj thegeometryofjetbundles |