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The division theorem for smooth functions
Dissertation (MSc (Mathematics))--University of Pretoria, 2006.
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| Format: | Thesis |
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University of Pretoria
2013
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| _version_ | 1867613553726324737 |
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| access_status_str | Open Access |
| author2 | Fouche, W.L. |
| author_browse | Fouche, W.L. |
| author_facet | Fouche, W.L. |
| collection | Thesis |
| dc_rights_str_mv | © 2002, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Dissertation (MSc (Mathematics))--University of Pretoria, 2006. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/26530 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:37:58.997Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/26530 The division theorem for smooth functions Fouche, W.L. upetd@up.ac.za De Wet, Pieter Oloff Differential equations partial Analytic functions Commutative algebra Smoothness of functions UCTD Dissertation (MSc (Mathematics))--University of Pretoria, 2006. We discuss Lojasiewicz's beautiful proof of the division theorem for smooth functions. The standard proofs are based on the Weierstrass preparation theorem for analytic functions and use techniques from the theory of partial differential equations. Lojasiewicz's approach is more geometric and syn¬thetic. In the appendices appear new proofs of results which are required for the theorem. Mathematics and Applied Mathematics unrestricted 2013-09-07T06:26:46Z 2005-07-26 2013-09-07T06:26:46Z 2003-04-01 2006-07-26 2005-07-22 Dissertation De Wet, PO 2002, The division theorem for smooth functions, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/26530 > H735/ag http://hdl.handle.net/2263/26530 http://upetd.up.ac.za/thesis/available/etd-07222005-122154/ © 2002, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | Differential equations partial Analytic functions Commutative algebra Smoothness of functions UCTD The division theorem for smooth functions |
| title | The division theorem for smooth functions |
| title_full | The division theorem for smooth functions |
| title_fullStr | The division theorem for smooth functions |
| title_full_unstemmed | The division theorem for smooth functions |
| title_short | The division theorem for smooth functions |
| title_sort | division theorem for smooth functions |
| topic | Differential equations partial Analytic functions Commutative algebra Smoothness of functions UCTD |
| url | http://hdl.handle.net/2263/26530 http://upetd.up.ac.za/thesis/available/etd-07222005-122154/ |