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The Implicit Function Theorem
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2018 (English)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesis
Abstract [en]

In this essay we present an introduction to real analysis, with the purpose of proving the Implicit Function Theorem. Our proof relies on other well-known theorems in set theory and real analysis as the Heine-Borel Covering Theorem and the Inverse Function Theorem.

Abstract [sv]

I denna uppsats ger vi en introduktion till reel analys, med syftet att bevisa den implicita funktionssatsen. Vårt bevis bygger på andra välkända satser i mängdteori och reel analys som Heine-Borels övertäckningssats och inversa funktionssatsen.

Place, publisher, year, edition, pages
2018.
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-151933OAI: oai:DiVA.org:umu-151933DiVA, id: diva2:1249251
Supervisors
Examiners
Available from: 2018-09-27 Created: 2018-09-18 Last updated: 2018-09-27Bibliographically approved

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fulltext(562 kB)822 downloads
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File name FULLTEXT01.pdfFile size 562 kBChecksum SHA-512
babfbe6dba78cf3fbba4014e72bfd470d997f309b5af7cffcb34c4ba2294ea4d77a914318d93934a405b7dfeb8c1f4f7415b651172e2df0c597bc3d3237505ca
Type fulltextMimetype application/pdf

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Mathematical Analysis

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • ieee
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
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  • asciidoc
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