The geometry of integrating a power around the origin

Registro completo de metadados
MetadadosDescriçãoIdioma
Autor(es): dc.creatorCusty, John-
Data de aceite: dc.date.accessioned2019-08-21T19:28:57Z-
Data de disponibilização: dc.date.available2019-08-21T19:28:57Z-
Data de envio: dc.date.issued2009-
Data de envio: dc.date.issued2009-09-08-
Data de envio: dc.date.issued2013-03-13-
Data de envio: dc.date.issued2013-03-13-
Data de envio: dc.date.issued2013-03-13-
Fonte completa do material: dc.identifierhttp://objetoseducacionais2.mec.gov.br/handle/mec/22650-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/492985-
Descrição: dc.descriptionEducação Superior::Ciências Exatas e da Terra::Matemática-
Descrição: dc.descriptionThis Demonstration shows some geometric relationships between terms in the contour integral around the origin of f(z)=z^n, nEZ. Note in particular that the complete integral around the origin takes on a nonzero value only when n=-1. In this case the z^n term (green) and the dz term (red) rotate in such in such a way that their product z^ndz (green) points in a fixed direction. In all other cases, the product rotates an integer number of times along the complete contour, resulting in a zero value. The term Lθ in the legend refers to the end-point of the (black) arc of integration-
Idioma: dc.languageen-
Publicador: dc.publisherWolfram Demonstrations Project-
Relação: dc.relationTheGeometryOfIntegratingAPowerAroundTheOrigin.nbp-
Direitos: dc.rightsDemonstration freeware using MathematicaPlayer-
???dc.source???: dc.sourcehttp://demonstrations.wolfram.com/topic.html?topic=Complex+Analysis&limit=20-
Palavras-chave: dc.subjectComplex analysis-
Palavras-chave: dc.subjectEducação Superior::Ciências Exatas e da Terra::Matemática::Análise Complexa-
Título: dc.titleThe geometry of integrating a power around the origin-
???dc.description2???: dc.description2Exploring relationships between terms in the contour integral around the origin of f(z), defined above-
???dc.description3???: dc.description3This demonstration needs the "MathematicaPlayer.exe" to run. Find it in http://objetoseducacionais2.mec.gov.br/handle/mec/4737-
Aparece nas coleções:Repositório Institucional - MEC BIOE

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