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...
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific
2021
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | "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 |
| Beschreibung: | Includes bibliographical references and index |
| Beschreibung: | 1 online resource (xvi, 209 pages) |
| ISBN: | 9789811232558 |
Internformat
MARC
| LEADER | 00000nmm a2200000zc 4500 | ||
|---|---|---|---|
| 001 | BV047287980 | ||
| 003 | DE-604 | ||
| 005 | 00000000000000.0 | ||
| 007 | cr|uuu---uuuuu | ||
| 008 | 210518s2021 |||| o||u| ||||||eng d | ||
| 020 | |a 9789811232558 |9 978-981-123-255-8 | ||
| 035 | |a (ZDB-124-WOP)00012168 | ||
| 035 | |a (OCoLC)1252707814 | ||
| 035 | |a (DE-599)BVBBV047287980 | ||
| 040 | |a DE-604 |b ger |e rda | ||
| 041 | 0 | |a eng | |
| 082 | 0 | |a 531.01/51228 | |
| 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 |
| 264 | 1 | |a Singapore |b World Scientific |c 2021 | |
| 300 | |a 1 online resource (xvi, 209 pages) | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
| 338 | |b cr |2 rdacarrier | ||
| 500 | |a Includes bibliographical references and index | ||
| 520 | |a "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 | ||
| 650 | 4 | |a Continuum mechanics | |
| 650 | 4 | |a Geometry, Differential | |
| 650 | 4 | |a Groupoids | |
| 650 | 4 | |a Algebroids | |
| 653 | |a Electronic books | ||
| 700 | 1 | |a Epstein, M. |4 aut | |
| 700 | 1 | |a Jiménez, Víctor |4 aut | |
| 776 | 0 | 8 | |i Erscheint auch als |n Druck-Ausgabe |z 9789811232541 |
| 856 | 4 | 0 | |u https://www.worldscientific.com/worldscibooks/10.1142/12168#t=toc |x Verlag |z URL des Erstveröffentlichers |3 Volltext |
| 912 | |a ZDB-124-WOP | ||
| 999 | |a oai:aleph.bib-bvb.de:BVB01-032691385 | ||
Datensatz im Suchindex
| _version_ | 1804182459108032512 |
|---|---|
| adam_txt | |
| any_adam_object | |
| any_adam_object_boolean | |
| 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 |
| building | Verbundindex |
| bvnumber | BV047287980 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00012168 (OCoLC)1252707814 (DE-599)BVBBV047287980 |
| 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 |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02409nmm a2200409zc 4500</leader><controlfield tag="001">BV047287980</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">210518s2021 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9789811232558</subfield><subfield code="9">978-981-123-255-8</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(ZDB-124-WOP)00012168</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1252707814</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV047287980</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">531.01/51228</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">León, Manuel de</subfield><subfield code="d">1953-</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Material geometry</subfield><subfield code="b">groupoids in continuum mechanics</subfield><subfield code="c">by Manuel de León, Consejo Superior de Investigaciones Científicas, Spain, Marcelo Epstein, University of Calgary, Canada, Víctor Jiménez, Universidad de Alcalá (UAH), Spain</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Singapore</subfield><subfield code="b">World Scientific</subfield><subfield code="c">2021</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (xvi, 209 pages)</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references and index</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">"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</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Continuum mechanics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Differential</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Groupoids</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Algebroids</subfield></datafield><datafield tag="653" ind1=" " ind2=" "><subfield code="a">Electronic books</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Epstein, M.</subfield><subfield code="4">aut</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Jiménez, Víctor</subfield><subfield code="4">aut</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe</subfield><subfield code="z">9789811232541</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.worldscientific.com/worldscibooks/10.1142/12168#t=toc</subfield><subfield code="x">Verlag</subfield><subfield code="z">URL des Erstveröffentlichers</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-124-WOP</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-032691385</subfield></datafield></record></collection> |
| 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 |
| work_keys_str_mv | AT leonmanuelde materialgeometrygroupoidsincontinuummechanics AT epsteinm materialgeometrygroupoidsincontinuummechanics AT jimenezvictor materialgeometrygroupoidsincontinuummechanics |