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Monografia
Análise Complexa: distinções entre o Corpo dos Números Complexos e o Corpo dos Números Reais
This monograph presents a study based on complex numbers, presenting in a very detailed way the main concepts, definitions, properties, propositions and theorems related to this field. This study aims to build a narrative from a historical point of view, where the history of complex numbers allow...
Autor principal: | SOUSA, Tainara Lima de |
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Grau: | Monografia |
Idioma: | pt_BR |
Publicado em: |
Universidade Federal do Tocantins
2023
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Assuntos: | |
Acesso em linha: |
http://hdl.handle.net/11612/4703 |
Resumo: |
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This monograph presents a study based on complex numbers, presenting in a very detailed way
the main concepts, definitions, properties, propositions and theorems related to this field. This
study aims to build a narrative from a historical point of view, where the history of complex
numbers allows us to visualize how and why this field came about. This research discussed the
differentiability in the set of complex numbers, in contrast to the differentiability in the set of
real numbers. The Fundamental Theorem of Algebra and the Cauchy-Riemann Equations are
also presented in the text. In addition to the above objective, this research rigorously explains
the essential differences between the two fields: complex numbers and real numbers. In the
methodological approach, a qualitative bibliographic research was adopted. |