Malmsten's Proof of the Integral Theorem

More documents

Recommendations

Info

Malmsten’s Proof of The Integral Theorem-an Early Swedish Paper on Complex AnalysisKajsa Bråting21st February 2002
AbstractIn this report we consider the Swedish mathematician C. J. Malmsten’sarticle “Om definita integraler mellan imaginära gränsor” from1865. In his article, Malmsten gives a proof of the Cauchy integral theoremwhere the limits of integration are complex numbers. The aimsof this report is to try to catch the techniques that Malmsten made useof in his proof and to get a glimpse of the mathematical concepts atthis time, especially those which weren’t fully investigated and therebygave rise to some problems for the mathematicians.1
Page 1: Malmsten's Proof of the Integral Th
Page 5 and 6: 1 IntroductionDuring the eighteenth
Page 7 and 8: 3 A short History of Complex Analys
Page 9 and 10: ecognition after 1831, when Carl Fr
Page 11 and 12: seems to have taken an interest in
Page 13 and 14: After that, Cauchy indicates the in
Page 15: 5.1 The Insufficiencies in Cauchy
Page 18 and 19: property of being two telescoping s
Page 20 and 21: and applies Theorem II.It is notabl
Page 22 and 23: that Cauchy didn’t mention this p
Page 24: [7] Smithes, F. (1997). Cauchy and

Malmsten's Proof of the Integral Theorem

Create successful ePaper yourself

Delete template?

Save as template?