Demonstration of Cauchy: Understanding Algebraic
ABSTRACT: In this study we present some considerations about the End of Course Work undergraduate Full Degree in Mathematics / UFMT, drafted in 2011, and by taking title "A story about Cauchy and Euler's theorem on polyhedra" that gave birth to our research project Master of Education...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Universidade Federal de Rondonópolis
2012-11-01
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| Series: | Scientific Electronic Archives |
| Subjects: | |
| Online Access: | https://sea.ufr.edu.br/index.php?journal=SEA&page=article&op=view&path=7 |
| _version_ | 1818974609034182656 |
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| author | T.L. Costa L.A. Palaro |
| author_facet | T.L. Costa L.A. Palaro |
| author_sort | T.L. Costa |
| collection | DOAJ |
| description | ABSTRACT: In this study we present some considerations about the End of Course Work undergraduate Full Degree in Mathematics / UFMT, drafted in 2011, and by taking title "A story about Cauchy and Euler's theorem on polyhedra" that gave birth to our research project Master of Education, begun in 2012, on the approaches of Euler's theorem on polyhedra in mathematics textbooks. At work in 2011 presented some considerations about the history of Euler's theorem for polyhedra which focus the demonstration presented by Cauchy (1789-1857), who tries to generalize it, relying on assumptions not observable in Euclidean geometry. Therefore, we seek the accessible literature on the history of mathematics; relate some aspects of the demonstration Cauchy with historical events on the development of mathematics in the nineteenth century, which allowed the acceptance of such a demonstration by mathematicians of his time.
Keywords: History of Mathematics. Euler's Theorem on Polyhedra. Demonstration of Cauchy. |
| first_indexed | 2024-12-20T15:42:46Z |
| format | Article |
| id | doaj.art-ccad66d9897949bd85fc9c56331b7d9c |
| institution | Directory Open Access Journal |
| issn | 2316-9281 2316-9281 |
| language | English |
| last_indexed | 2024-12-20T15:42:46Z |
| publishDate | 2012-11-01 |
| publisher | Universidade Federal de Rondonópolis |
| record_format | Article |
| series | Scientific Electronic Archives |
| spelling | doaj.art-ccad66d9897949bd85fc9c56331b7d9c2022-12-21T19:35:08ZengUniversidade Federal de RondonópolisScientific Electronic Archives2316-92812316-92812012-11-0111202510.36560/112012711Demonstration of Cauchy: Understanding AlgebraicT.L. CostaL.A. PalaroABSTRACT: In this study we present some considerations about the End of Course Work undergraduate Full Degree in Mathematics / UFMT, drafted in 2011, and by taking title "A story about Cauchy and Euler's theorem on polyhedra" that gave birth to our research project Master of Education, begun in 2012, on the approaches of Euler's theorem on polyhedra in mathematics textbooks. At work in 2011 presented some considerations about the history of Euler's theorem for polyhedra which focus the demonstration presented by Cauchy (1789-1857), who tries to generalize it, relying on assumptions not observable in Euclidean geometry. Therefore, we seek the accessible literature on the history of mathematics; relate some aspects of the demonstration Cauchy with historical events on the development of mathematics in the nineteenth century, which allowed the acceptance of such a demonstration by mathematicians of his time. Keywords: History of Mathematics. Euler's Theorem on Polyhedra. Demonstration of Cauchy.https://sea.ufr.edu.br/index.php?journal=SEA&page=article&op=view&path=7history of mathematicseuler's theorem on polyhedrademonstration of cauchy |
| spellingShingle | T.L. Costa L.A. Palaro Demonstration of Cauchy: Understanding Algebraic Scientific Electronic Archives history of mathematics euler's theorem on polyhedra demonstration of cauchy |
| title | Demonstration of Cauchy: Understanding Algebraic |
| title_full | Demonstration of Cauchy: Understanding Algebraic |
| title_fullStr | Demonstration of Cauchy: Understanding Algebraic |
| title_full_unstemmed | Demonstration of Cauchy: Understanding Algebraic |
| title_short | Demonstration of Cauchy: Understanding Algebraic |
| title_sort | demonstration of cauchy understanding algebraic |
| topic | history of mathematics euler's theorem on polyhedra demonstration of cauchy |
| url | https://sea.ufr.edu.br/index.php?journal=SEA&page=article&op=view&path=7 |
| work_keys_str_mv | AT tlcosta demonstrationofcauchyunderstandingalgebraic AT lapalaro demonstrationofcauchyunderstandingalgebraic |