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:
| Hauptverfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English German |
| Veröffentlicht: |
Cambridge [England] ; New York :
Cambridge University Press,
©1975.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
17. |
| Schlagworte: | |
| Online-Zugang: | 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: | "A small number of copies of the German text were printed ... under the title: Der Regensburger Trichter, Band 3, Differenzierbare Abbildungen." |
| Beschreibung: | 1 online resource (vi, 179 pages) : illustrations |
| Bibliographie: | Includes bibliographical references (pages 172-175) and index. |
| ISBN: | 9781107087057 1107087058 9781107325418 1107325412 1299706746 9781299706743 1139885871 9781139885874 1107099455 9781107099456 1107101999 9781107101999 1107093260 9781107093263 1107090113 9781107090118 |
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| id | ZDB-4-EBA-ocn846495079 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:25:22Z |
| institution | BVB |
| isbn | 9781107087057 1107087058 9781107325418 1107325412 1299706746 9781299706743 1139885871 9781139885874 1107099455 9781107099456 1107101999 9781107101999 1107093260 9781107093263 1107090113 9781107090118 |
| language | English German |
| oclc_num | 846495079 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (vi, 179 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Cambridge University Press, |
| record_format | marc |
| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society lecture note series ; |
| spelling | Bröcker, Theodor. Differenzierbare Abbildungen. English Differentiable germs and catastrophes / Th. Bröcker & L. Lander ; [translated by L. Lander]. Cambridge [England] ; New York : Cambridge University Press, ©1975. 1 online resource (vi, 179 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society lecture note series ; 17 "A small number of copies of the German text were printed ... under the title: Der Regensburger Trichter, Band 3, Differenzierbare Abbildungen." Includes bibliographical references (pages 172-175) and index. Print version record. English. 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) http://id.loc.gov/authorities/subjects/sh85020955 Differentiable mappings. http://id.loc.gov/authorities/subjects/sh85037885 Germs (Mathematics) http://id.loc.gov/authorities/subjects/sh85054688 Théorie des catastrophes. Applications différentiables. Germes (Mathématiques) MATHEMATICS Topology. bisacsh Catastrophes (Mathematics) fast Differentiable mappings fast Germs (Mathematics) fast Abbildung Mathematik gnd http://d-nb.info/gnd/4000044-8 Differenzierbare Abbildung gnd http://d-nb.info/gnd/4149802-1 Katastrophentheorie gnd http://d-nb.info/gnd/4029930-2 Catastrophes, Théorie des. ram Germes (mathématiques) ram Théories des matémathiques. ram Applications différentiables. ram Lander, L., author. has work: Differentiable germs and catastrophes (Text) https://id.oclc.org/worldcat/entity/E39PCGp7gTwMdv9gr9CkJ4DkTb https://id.oclc.org/worldcat/ontology/hasWork Print version: Bröcker, Theodor. Differenzierbare Abbildungen. English. Differentiable germs and catastrophes. Cambridge [Eng.] ; New York : Cambridge University Press, ©1975 0521206812 (DLC) 74017000 (OCoLC)1659358 London Mathematical Society lecture note series ; 17. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569355 Volltext |
| spellingShingle | Bröcker, Theodor Lander, L. Differentiable germs and catastrophes / London Mathematical Society lecture note series ; Catastrophes (Mathematics) http://id.loc.gov/authorities/subjects/sh85020955 Differentiable mappings. http://id.loc.gov/authorities/subjects/sh85037885 Germs (Mathematics) http://id.loc.gov/authorities/subjects/sh85054688 Théorie des catastrophes. Applications différentiables. Germes (Mathématiques) MATHEMATICS Topology. bisacsh Catastrophes (Mathematics) fast Differentiable mappings fast Germs (Mathematics) fast Abbildung Mathematik gnd http://d-nb.info/gnd/4000044-8 Differenzierbare Abbildung gnd http://d-nb.info/gnd/4149802-1 Katastrophentheorie gnd http://d-nb.info/gnd/4029930-2 Catastrophes, Théorie des. ram Germes (mathématiques) ram Théories des matémathiques. ram Applications différentiables. ram |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85020955 http://id.loc.gov/authorities/subjects/sh85037885 http://id.loc.gov/authorities/subjects/sh85054688 http://d-nb.info/gnd/4000044-8 http://d-nb.info/gnd/4149802-1 http://d-nb.info/gnd/4029930-2 |
| title | Differentiable germs and catastrophes / |
| title_alt | Differenzierbare Abbildungen. |
| 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) http://id.loc.gov/authorities/subjects/sh85020955 Differentiable mappings. http://id.loc.gov/authorities/subjects/sh85037885 Germs (Mathematics) http://id.loc.gov/authorities/subjects/sh85054688 Théorie des catastrophes. Applications différentiables. Germes (Mathématiques) MATHEMATICS Topology. bisacsh Catastrophes (Mathematics) fast Differentiable mappings fast Germs (Mathematics) fast Abbildung Mathematik gnd http://d-nb.info/gnd/4000044-8 Differenzierbare Abbildung gnd http://d-nb.info/gnd/4149802-1 Katastrophentheorie gnd http://d-nb.info/gnd/4029930-2 Catastrophes, Théorie des. ram Germes (mathématiques) ram Théories des matémathiques. ram Applications différentiables. ram |
| topic_facet | Catastrophes (Mathematics) Differentiable mappings. Germs (Mathematics) Théorie des catastrophes. Applications différentiables. Germes (Mathématiques) MATHEMATICS Topology. Differentiable mappings Abbildung Mathematik Differenzierbare Abbildung Katastrophentheorie Catastrophes, Théorie des. Germes (mathématiques) Théories des matémathiques. |
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