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On the fundamental theorem of calculus
Umeå University, Faculty of Science and Technology, Department of Mathematics and Mathematical Statistics.
2015 (English)Independent thesis Advanced level (degree of Master (One Year)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

The Riemann integral has many flaws, some that becomes visible in the fundamental theorem of calculus. The main point of this essay is to introduce the gauge integral, and prove a much more suitable version of that theorem.

Abstract [sv]

Riemannintegralen har många brister. Vissa utav dessa ser man i integralkalkylens huvudsats. Huvudmålet med denna uppsats är att introducera gauge integralen och visa en mer lämplig version av huvudsatsen.

Place, publisher, year, edition, pages
2015. , 57 p.
Keyword [en]
Fundamental theorem of calculus, Gauge integral, Riemann integral
National Category
Mathematical Analysis
Identifiers
URN: urn:nbn:se:umu:diva-103809OAI: oai:DiVA.org:umu-103809DiVA: diva2:815533
Supervisors
Examiners
Available from: 2015-11-04 Created: 2015-06-01 Last updated: 2015-11-04Bibliographically approved

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fulltext(974 kB)173 downloads
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File name FULLTEXT01.pdfFile size 974 kBChecksum SHA-512
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Type fulltextMimetype application/pdf

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CiteExportLink to record
Permanent link

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Cite
Citation style
  • apa
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf