Aspectos aritméticos e históricos de certos números inteiros especiais
Special numbers do not appear frequently and are not very detailed in high school. In this work, the arithmetic aspects of certain special numbers are be presented, including the Perfect Numbers, Mersenne Numbers, Fermat Numbers, Friendly Numbers, Lucas Number, and Stirling Numbers. Additionally, hi...
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| Format: | master thesis |
| Status: | Published version |
| Publication Date: | 2020 |
| Country: | Brasil |
| Institution: | Universidade Federal de São Paulo (UNIFESP) |
| Repository: | Repositório Institucional da UNIFESP |
| Language: | Portuguese |
| OAI Identifier: | oai:repositorio.unifesp.br:11600/64899 |
| Online Access: | https://sucupira.capes.gov.br/sucupira/public/consultas/coleta/trabalhoConclusao/viewTrabalhoConclusao.jsf?popup=true&id_trabalho=9356697 https://hdl.handle.net/11600/64899 |
| Access Level: | Open access |
| Keyword: | Perfect Numbers Mersenne Numbers Fermat Numbers Amicable Numbers Lucas Numbers Números Perfeitos Números De Mersenne Números De Fermat Números Amigáveis Número De Lucas |
| Summary: | Special numbers do not appear frequently and are not very detailed in high school. In this work, the arithmetic aspects of certain special numbers are be presented, including the Perfect Numbers, Mersenne Numbers, Fermat Numbers, Friendly Numbers, Lucas Number, and Stirling Numbers. Additionally, historical aspects of these numbers are presented. With this study we aim to present a collection of special numbers and proofs of some of their most relevant properties. The historical developments of these numbers are also presented. Other numbers will be briefly covered. At the end, we present two different didactic schemes for teaching these concepts in class. |
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