Material geometry: groupoids in continuum mechanics
"This monograph is the first in which the theory of groupoids and algebroids is applied to the study of the properties of uniformity and homogeneity of continuous media. It is a further step in the application of differential geometry to the mechanics of continua, initiated years ago with the i...
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| Main Authors: | , , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific
2021
|
| Subjects: | |
| Online Access: | Volltext |
| Summary: | "This monograph is the first in which the theory of groupoids and algebroids is applied to the study of the properties of uniformity and homogeneity of continuous media. It is a further step in the application of differential geometry to the mechanics of continua, initiated years ago with the introduction of the theory of G-structures, in which the group G denotes the group of material symmetries, to study smoothly uniform materials. The new approach presented in this book goes much further by being much more general. It is not a generalization per se, but rather a natural way of considering the algebraic-geometric structure induced by the so-called material isomorphisms. This approach has allowed us to encompass non-uniform material and discover new properties of uniformity and homogeneity that certain material bodies can possess, thus opening a new area in the discipline"--Publisher's website |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | 1 online resource (xvi, 209 pages) |
| ISBN: | 9789811232558 |
Staff View
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| 100 | 1 | |a León, Manuel de |d 1953- |4 aut | |
| 245 | 1 | 0 | |a Material geometry |b groupoids in continuum mechanics |c by Manuel de León, Consejo Superior de Investigaciones Científicas, Spain, Marcelo Epstein, University of Calgary, Canada, Víctor Jiménez, Universidad de Alcalá (UAH), Spain |
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| 650 | 4 | |a Continuum mechanics | |
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| 700 | 1 | |a Jiménez, Víctor |4 aut | |
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| author | León, Manuel de 1953- Epstein, M. Jiménez, Víctor |
| author_facet | León, Manuel de 1953- Epstein, M. Jiménez, Víctor |
| author_role | aut aut aut |
| author_sort | León, Manuel de 1953- |
| author_variant | m d l md mdl m e me v j vj |
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| bvnumber | BV047287980 |
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| dewey-full | 531.01/51228 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 531 - Classical mechanics |
| dewey-raw | 531.01/51228 |
| dewey-search | 531.01/51228 |
| dewey-sort | 3531.01 551228 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| discipline_str_mv | Physik |
| format | Electronic eBook |
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| id | DE-604.BV047287980 |
| illustrated | Not Illustrated |
| index_date | 2024-07-03T17:19:21Z |
| indexdate | 2024-07-10T09:07:53Z |
| institution | BVB |
| isbn | 9789811232558 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032691385 |
| oclc_num | 1252707814 |
| open_access_boolean | |
| physical | 1 online resource (xvi, 209 pages) |
| psigel | ZDB-124-WOP |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | World Scientific |
| record_format | marc |
| spelling | León, Manuel de 1953- aut Material geometry groupoids in continuum mechanics by Manuel de León, Consejo Superior de Investigaciones Científicas, Spain, Marcelo Epstein, University of Calgary, Canada, Víctor Jiménez, Universidad de Alcalá (UAH), Spain Singapore World Scientific 2021 1 online resource (xvi, 209 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index "This monograph is the first in which the theory of groupoids and algebroids is applied to the study of the properties of uniformity and homogeneity of continuous media. It is a further step in the application of differential geometry to the mechanics of continua, initiated years ago with the introduction of the theory of G-structures, in which the group G denotes the group of material symmetries, to study smoothly uniform materials. The new approach presented in this book goes much further by being much more general. It is not a generalization per se, but rather a natural way of considering the algebraic-geometric structure induced by the so-called material isomorphisms. This approach has allowed us to encompass non-uniform material and discover new properties of uniformity and homogeneity that certain material bodies can possess, thus opening a new area in the discipline"--Publisher's website Continuum mechanics Geometry, Differential Groupoids Algebroids Electronic books Epstein, M. aut Jiménez, Víctor aut Erscheint auch als Druck-Ausgabe 9789811232541 https://www.worldscientific.com/worldscibooks/10.1142/12168#t=toc Verlag URL des Erstveröffentlichers Volltext |
| spellingShingle | León, Manuel de 1953- Epstein, M. Jiménez, Víctor Material geometry groupoids in continuum mechanics Continuum mechanics Geometry, Differential Groupoids Algebroids |
| title | Material geometry groupoids in continuum mechanics |
| title_auth | Material geometry groupoids in continuum mechanics |
| title_exact_search | Material geometry groupoids in continuum mechanics |
| title_exact_search_txtP | Material geometry groupoids in continuum mechanics |
| title_full | Material geometry groupoids in continuum mechanics by Manuel de León, Consejo Superior de Investigaciones Científicas, Spain, Marcelo Epstein, University of Calgary, Canada, Víctor Jiménez, Universidad de Alcalá (UAH), Spain |
| title_fullStr | Material geometry groupoids in continuum mechanics by Manuel de León, Consejo Superior de Investigaciones Científicas, Spain, Marcelo Epstein, University of Calgary, Canada, Víctor Jiménez, Universidad de Alcalá (UAH), Spain |
| title_full_unstemmed | Material geometry groupoids in continuum mechanics by Manuel de León, Consejo Superior de Investigaciones Científicas, Spain, Marcelo Epstein, University of Calgary, Canada, Víctor Jiménez, Universidad de Alcalá (UAH), Spain |
| title_short | Material geometry |
| title_sort | material geometry groupoids in continuum mechanics |
| title_sub | groupoids in continuum mechanics |
| topic | Continuum mechanics Geometry, Differential Groupoids Algebroids |
| topic_facet | Continuum mechanics Geometry, Differential Groupoids Algebroids |
| url | https://www.worldscientific.com/worldscibooks/10.1142/12168#t=toc |
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