Differentiable germs and catastrophes:
These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part of Whitney'...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Weitere Verfasser: | |
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1975
|
| Schriftenreihe: | London Mathematical Society lecture note series
17 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part of Whitney's Theorem on mappings of the plane into the plane, quadratic differentials, the Instability Theorem of Thom, one of Mather's theorems on finite determinacy and a glimpse of the theory of Toujeron. The later part of the book develops Mather's theory of unfoldings of singularities. Its application to Catastrophe theory is explained and the Elementary Catastrophes are illustrated by many pictures. The book is suitable as a text for courses to graduates and advanced undergraduates but may also be of interest to mathematical biologists and economists |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (vi, 179 pages) |
| ISBN: | 9781107325418 |
| DOI: | 10.1017/CBO9781107325418 |
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Datensatz im Suchindex
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| any_adam_object | |
| author | Bröcker, Theodor |
| author2 | Lander, L. |
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| dewey-search | 514/.7 |
| dewey-sort | 3514 17 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
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| id | DE-604.BV043941580 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:16Z |
| institution | BVB |
| isbn | 9781107325418 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-029350550 |
| oclc_num | 967679256 |
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| spelling | Bröcker, Theodor Verfasser aut Differenzierbare Abbildungen Differentiable germs and catastrophes Th. Bröcker & L. Lander ; [translated by L. Lander] Differentiable Germs & Catastrophes Cambridge Cambridge University Press 1975 1 online resource (vi, 179 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 17 Title from publisher's bibliographic system (viewed on 05 Oct 2015) These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part of Whitney's Theorem on mappings of the plane into the plane, quadratic differentials, the Instability Theorem of Thom, one of Mather's theorems on finite determinacy and a glimpse of the theory of Toujeron. The later part of the book develops Mather's theory of unfoldings of singularities. Its application to Catastrophe theory is explained and the Elementary Catastrophes are illustrated by many pictures. The book is suitable as a text for courses to graduates and advanced undergraduates but may also be of interest to mathematical biologists and economists Catastrophes (Mathematics) Differentiable mappings Germs (Mathematics) Abbildung Mathematik (DE-588)4000044-8 gnd rswk-swf Kataklysmentheorie (DE-588)4227569-6 gnd rswk-swf Katastrophentheorie (DE-588)4029930-2 gnd rswk-swf Differenzierbare Abbildung (DE-588)4149802-1 gnd rswk-swf Abbildung Mathematik (DE-588)4000044-8 s 1\p DE-604 Differenzierbare Abbildung (DE-588)4149802-1 s 2\p DE-604 Kataklysmentheorie (DE-588)4227569-6 s 3\p DE-604 Katastrophentheorie (DE-588)4029930-2 s 4\p DE-604 Lander, L. trl Erscheint auch als Druckausgabe 978-0-521-20681-5 https://doi.org/10.1017/CBO9781107325418 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bröcker, Theodor Differentiable germs and catastrophes Catastrophes (Mathematics) Differentiable mappings Germs (Mathematics) Abbildung Mathematik (DE-588)4000044-8 gnd Kataklysmentheorie (DE-588)4227569-6 gnd Katastrophentheorie (DE-588)4029930-2 gnd Differenzierbare Abbildung (DE-588)4149802-1 gnd |
| subject_GND | (DE-588)4000044-8 (DE-588)4227569-6 (DE-588)4029930-2 (DE-588)4149802-1 |
| title | Differentiable germs and catastrophes |
| title_alt | Differenzierbare Abbildungen Differentiable Germs & Catastrophes |
| title_auth | Differentiable germs and catastrophes |
| title_exact_search | Differentiable germs and catastrophes |
| title_full | Differentiable germs and catastrophes Th. Bröcker & L. Lander ; [translated by L. Lander] |
| title_fullStr | Differentiable germs and catastrophes Th. Bröcker & L. Lander ; [translated by L. Lander] |
| title_full_unstemmed | Differentiable germs and catastrophes Th. Bröcker & L. Lander ; [translated by L. Lander] |
| title_short | Differentiable germs and catastrophes |
| title_sort | differentiable germs and catastrophes |
| topic | Catastrophes (Mathematics) Differentiable mappings Germs (Mathematics) Abbildung Mathematik (DE-588)4000044-8 gnd Kataklysmentheorie (DE-588)4227569-6 gnd Katastrophentheorie (DE-588)4029930-2 gnd Differenzierbare Abbildung (DE-588)4149802-1 gnd |
| topic_facet | Catastrophes (Mathematics) Differentiable mappings Germs (Mathematics) Abbildung Mathematik Kataklysmentheorie Katastrophentheorie Differenzierbare Abbildung |
| url | https://doi.org/10.1017/CBO9781107325418 |
| work_keys_str_mv | AT brockertheodor differenzierbareabbildungen AT landerl differenzierbareabbildungen AT brockertheodor differentiablegermsandcatastrophes AT landerl differentiablegermsandcatastrophes AT brockertheodor differentiablegermscatastrophes AT landerl differentiablegermscatastrophes |