Bifurcations and Catastrophes: Geometry of Solutions to Nonlinear Problems
Gespeichert in:
1. Verfasser: | |
---|---|
Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
2000
|
Schriftenreihe: | Universitext
|
Schlagworte: | |
Online-Zugang: | Volltext |
Beschreibung: | Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments |
Beschreibung: | 1 Online-Ressource (VIII, 302p. 56 illus) |
ISBN: | 9783642571343 9783540521181 |
ISSN: | 0172-5939 |
DOI: | 10.1007/978-3-642-57134-3 |
Internformat
MARC
LEADER | 00000nmm a2200000zc 4500 | ||
---|---|---|---|
001 | BV042422663 | ||
003 | DE-604 | ||
005 | 00000000000000.0 | ||
007 | cr|uuu---uuuuu | ||
008 | 150317s2000 |||| o||u| ||||||eng d | ||
020 | |a 9783642571343 |c Online |9 978-3-642-57134-3 | ||
020 | |a 9783540521181 |c Print |9 978-3-540-52118-1 | ||
024 | 7 | |a 10.1007/978-3-642-57134-3 |2 doi | |
035 | |a (OCoLC)863688419 | ||
035 | |a (DE-599)BVBBV042422663 | ||
040 | |a DE-604 |b ger |e aacr | ||
041 | 0 | |a eng | |
049 | |a DE-384 |a DE-703 |a DE-91 |a DE-634 | ||
082 | 0 | |a 516.36 |2 23 | |
084 | |a MAT 000 |2 stub | ||
100 | 1 | |a Demazure, Michel |e Verfasser |4 aut | |
245 | 1 | 0 | |a Bifurcations and Catastrophes |b Geometry of Solutions to Nonlinear Problems |c by Michel Demazure |
264 | 1 | |a Berlin, Heidelberg |b Springer Berlin Heidelberg |c 2000 | |
300 | |a 1 Online-Ressource (VIII, 302p. 56 illus) | ||
336 | |b txt |2 rdacontent | ||
337 | |b c |2 rdamedia | ||
338 | |b cr |2 rdacarrier | ||
490 | 0 | |a Universitext |x 0172-5939 | |
500 | |a Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments | ||
650 | 4 | |a Mathematics | |
650 | 4 | |a Differentiable dynamical systems | |
650 | 4 | |a Global analysis | |
650 | 4 | |a Global differential geometry | |
650 | 4 | |a Differential Geometry | |
650 | 4 | |a Global Analysis and Analysis on Manifolds | |
650 | 4 | |a Dynamical Systems and Ergodic Theory | |
650 | 4 | |a Mathematik | |
650 | 0 | 7 | |a Katastrophentheorie |0 (DE-588)4029930-2 |2 gnd |9 rswk-swf |
650 | 0 | 7 | |a Verzweigung |g Mathematik |0 (DE-588)4078889-1 |2 gnd |9 rswk-swf |
689 | 0 | 0 | |a Verzweigung |g Mathematik |0 (DE-588)4078889-1 |D s |
689 | 0 | 1 | |a Katastrophentheorie |0 (DE-588)4029930-2 |D s |
689 | 0 | |8 1\p |5 DE-604 | |
856 | 4 | 0 | |u https://doi.org/10.1007/978-3-642-57134-3 |x Verlag |3 Volltext |
912 | |a ZDB-2-SMA |a ZDB-2-BAE | ||
940 | 1 | |q ZDB-2-SMA_Archive | |
999 | |a oai:aleph.bib-bvb.de:BVB01-027858080 | ||
883 | 1 | |8 1\p |a cgwrk |d 20201028 |q DE-101 |u https://d-nb.info/provenance/plan#cgwrk |
Datensatz im Suchindex
_version_ | 1804153097726984192 |
---|---|
any_adam_object | |
author | Demazure, Michel |
author_facet | Demazure, Michel |
author_role | aut |
author_sort | Demazure, Michel |
author_variant | m d md |
building | Verbundindex |
bvnumber | BV042422663 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA ZDB-2-BAE |
ctrlnum | (OCoLC)863688419 (DE-599)BVBBV042422663 |
dewey-full | 516.36 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 516 - Geometry |
dewey-raw | 516.36 |
dewey-search | 516.36 |
dewey-sort | 3516.36 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-642-57134-3 |
format | Electronic eBook |
fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02440nmm a2200529zc 4500</leader><controlfield tag="001">BV042422663</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">00000000000000.0</controlfield><controlfield tag="007">cr|uuu---uuuuu</controlfield><controlfield tag="008">150317s2000 |||| o||u| ||||||eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783642571343</subfield><subfield code="c">Online</subfield><subfield code="9">978-3-642-57134-3</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783540521181</subfield><subfield code="c">Print</subfield><subfield code="9">978-3-540-52118-1</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-642-57134-3</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)863688419</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV042422663</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">aacr</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-634</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">516.36</subfield><subfield code="2">23</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Demazure, Michel</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Bifurcations and Catastrophes</subfield><subfield code="b">Geometry of Solutions to Nonlinear Problems</subfield><subfield code="c">by Michel Demazure</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Berlin, Heidelberg</subfield><subfield code="b">Springer Berlin Heidelberg</subfield><subfield code="c">2000</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (VIII, 302p. 56 illus)</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="490" ind1="0" ind2=" "><subfield code="a">Universitext</subfield><subfield code="x">0172-5939</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematics</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differentiable dynamical systems</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global analysis</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global differential geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Differential Geometry</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Global Analysis and Analysis on Manifolds</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Dynamical Systems and Ergodic Theory</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Mathematik</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Katastrophentheorie</subfield><subfield code="0">(DE-588)4029930-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Verzweigung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4078889-1</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Verzweigung</subfield><subfield code="g">Mathematik</subfield><subfield code="0">(DE-588)4078889-1</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Katastrophentheorie</subfield><subfield code="0">(DE-588)4029930-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="8">1\p</subfield><subfield code="5">DE-604</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-642-57134-3</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield><subfield code="a">ZDB-2-BAE</subfield></datafield><datafield tag="940" ind1="1" ind2=" "><subfield code="q">ZDB-2-SMA_Archive</subfield></datafield><datafield tag="999" ind1=" " ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027858080</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield></record></collection> |
id | DE-604.BV042422663 |
illustrated | Not Illustrated |
indexdate | 2024-07-10T01:21:11Z |
institution | BVB |
isbn | 9783642571343 9783540521181 |
issn | 0172-5939 |
language | English |
oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027858080 |
oclc_num | 863688419 |
open_access_boolean | |
owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
physical | 1 Online-Ressource (VIII, 302p. 56 illus) |
psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
publishDate | 2000 |
publishDateSearch | 2000 |
publishDateSort | 2000 |
publisher | Springer Berlin Heidelberg |
record_format | marc |
series2 | Universitext |
spelling | Demazure, Michel Verfasser aut Bifurcations and Catastrophes Geometry of Solutions to Nonlinear Problems by Michel Demazure Berlin, Heidelberg Springer Berlin Heidelberg 2000 1 Online-Ressource (VIII, 302p. 56 illus) txt rdacontent c rdamedia cr rdacarrier Universitext 0172-5939 Based on a lecture course at the Ecole Polytechnique (Paris), this text gives a rigorous introduction to many of the key ideas in nonlinear analysis, dynamical systems and bifurcation theory including catastrophe theory. Wherever appropriate it emphasizes a geometrical or coordinate-free approach which allows a clear focus on the essential mathematical structures. Taking a unified view, it brings out features common to different branches of the subject while giving ample references for more advanced or technical developments Mathematics Differentiable dynamical systems Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Dynamical Systems and Ergodic Theory Mathematik Katastrophentheorie (DE-588)4029930-2 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 gnd rswk-swf Verzweigung Mathematik (DE-588)4078889-1 s Katastrophentheorie (DE-588)4029930-2 s 1\p DE-604 https://doi.org/10.1007/978-3-642-57134-3 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
spellingShingle | Demazure, Michel Bifurcations and Catastrophes Geometry of Solutions to Nonlinear Problems Mathematics Differentiable dynamical systems Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Dynamical Systems and Ergodic Theory Mathematik Katastrophentheorie (DE-588)4029930-2 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd |
subject_GND | (DE-588)4029930-2 (DE-588)4078889-1 |
title | Bifurcations and Catastrophes Geometry of Solutions to Nonlinear Problems |
title_auth | Bifurcations and Catastrophes Geometry of Solutions to Nonlinear Problems |
title_exact_search | Bifurcations and Catastrophes Geometry of Solutions to Nonlinear Problems |
title_full | Bifurcations and Catastrophes Geometry of Solutions to Nonlinear Problems by Michel Demazure |
title_fullStr | Bifurcations and Catastrophes Geometry of Solutions to Nonlinear Problems by Michel Demazure |
title_full_unstemmed | Bifurcations and Catastrophes Geometry of Solutions to Nonlinear Problems by Michel Demazure |
title_short | Bifurcations and Catastrophes |
title_sort | bifurcations and catastrophes geometry of solutions to nonlinear problems |
title_sub | Geometry of Solutions to Nonlinear Problems |
topic | Mathematics Differentiable dynamical systems Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Dynamical Systems and Ergodic Theory Mathematik Katastrophentheorie (DE-588)4029930-2 gnd Verzweigung Mathematik (DE-588)4078889-1 gnd |
topic_facet | Mathematics Differentiable dynamical systems Global analysis Global differential geometry Differential Geometry Global Analysis and Analysis on Manifolds Dynamical Systems and Ergodic Theory Mathematik Katastrophentheorie Verzweigung Mathematik |
url | https://doi.org/10.1007/978-3-642-57134-3 |
work_keys_str_mv | AT demazuremichel bifurcationsandcatastrophesgeometryofsolutionstononlinearproblems |