Do teorema de Cauchy ao metodo de Cagniard
Rubens de Figueiredo Camargo
DISSERTAÇÃO
Português
(Broch.)
T/UNICAMP C14d
Campinas, SP : [s.n.], 2005.
118p. : il.
Orientador: Edmundo Capelas de Oliveira
Dissertação (mestrado) - Universidade Estadual de Campinas, Instituto de Matematica, Estatistica e Computação Cientifica
Resumo: Este trabalho versa sobre variaveis complexas, em particular sobre o teorema integral de Cauchy, suas consequencias e aplicações. Como consequencia do teorema integral de Cauchy temos o teorema dos residuos, peça chave para o desenvolvimento deste trabalho. Nas aplicações nos concentramos no...
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Resumo: Este trabalho versa sobre variaveis complexas, em particular sobre o teorema integral de Cauchy, suas consequencias e aplicações. Como consequencia do teorema integral de Cauchy temos o teorema dos residuos, peça chave para o desenvolvimento deste trabalho. Nas aplicações nos concentramos no estudo das transformadas integrais como metodologia na resolução de equações diferenciais parciais, em particular no calculo da inversão das transformadas de Laplace, Fourier e Hankel, bem como na justa posição das transformadas. Para inversão da justa posição das transformadas nos concentramos no metodo de Cagniard e algumas de suas variações
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Abstract: This work is about complex variables, in particular about Cauchy¿s integral theorem and its consequences and applications.
We have, as consequences of Cauchy¿s integral theorem, Cauchy¿s theorem and the residue theorem, a keynote to the development of this work. As for the applications,... Ver mais Abstract: This work is about complex variables, in particular about Cauchy¿s integral theorem and its consequences and applications.
We have, as consequences of Cauchy¿s integral theorem, Cauchy¿s theorem and the residue theorem, a keynote to the development of this work. As for the applications, our main objective was to study the integral transforms as a method to solve partial differential equations and, specifically, the inversion of the Laplace, Fourier and Hankel transforms, in the same way, the juxtaposition of transforms. In order to invert the juxtaposition of transforms our main concern was to study Cagniard¿s method and some of its variations Ver menos
We have, as consequences of Cauchy¿s integral theorem, Cauchy¿s theorem and the residue theorem, a keynote to the development of this work. As for the applications,... Ver mais Abstract: This work is about complex variables, in particular about Cauchy¿s integral theorem and its consequences and applications.
We have, as consequences of Cauchy¿s integral theorem, Cauchy¿s theorem and the residue theorem, a keynote to the development of this work. As for the applications, our main objective was to study the integral transforms as a method to solve partial differential equations and, specifically, the inversion of the Laplace, Fourier and Hankel transforms, in the same way, the juxtaposition of transforms. In order to invert the juxtaposition of transforms our main concern was to study Cagniard¿s method and some of its variations Ver menos
Oliveira, Edmundo Capelas de, 1952-
Orientador
Chiacchio, Ary Orozimbo, 1957-
Avaliador
Escobar, Bruto Max Pimentel, 1947-
Avaliador
Do teorema de Cauchy ao metodo de Cagniard
Rubens de Figueiredo Camargo
Do teorema de Cauchy ao metodo de Cagniard
Rubens de Figueiredo Camargo
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