Optimization Problems in Spanish Differential Calculus Books Published in the 18th Century
History of mathematics and mathematics education research allows us to know, among other issues: the influence that certain textbooks have had on the teaching of school mathematics, in academic or professional training, during a certain historical period; as well as the scientific advances achieved...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-07-01
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| Series: | Mathematics |
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| Online Access: | https://www.mdpi.com/2227-7390/10/13/2322 |
| _version_ | 1797434122440802304 |
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| author | José Carlos Casas-Rosal Carmen León-Mantero Noelia Jiménez-Fanjul David Gutiérrez-Rubio |
| author_facet | José Carlos Casas-Rosal Carmen León-Mantero Noelia Jiménez-Fanjul David Gutiérrez-Rubio |
| author_sort | José Carlos Casas-Rosal |
| collection | DOAJ |
| description | History of mathematics and mathematics education research allows us to know, among other issues: the influence that certain textbooks have had on the teaching of school mathematics, in academic or professional training, during a certain historical period; as well as the scientific advances achieved in each historical period and their incorporation into the teaching of the subject matter. In this work, we focus our attention on the applications of the method of finding maxima and minima included in the textbooks published during the 18th century in Spain. Specifically, we identify the approach of the algorithm used, the shortcomings or deficiencies that the posing of the proposed problems may have, the verification of the nature of the optimal points obtained and the consideration—or not—of the negative solutions in the process of resolution. |
| first_indexed | 2024-03-09T10:27:43Z |
| format | Article |
| id | doaj.art-f201ce35925d49028ab05f301c5c86ee |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-03-09T10:27:43Z |
| publishDate | 2022-07-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-f201ce35925d49028ab05f301c5c86ee2023-12-01T21:35:37ZengMDPI AGMathematics2227-73902022-07-011013232210.3390/math10132322Optimization Problems in Spanish Differential Calculus Books Published in the 18th CenturyJosé Carlos Casas-Rosal0Carmen León-Mantero1Noelia Jiménez-Fanjul2David Gutiérrez-Rubio3Department of Mathematics, Faculty of Education, Universidad de Córdoba, 14071 Cordoba, SpainDepartment of Mathematics, Faculty of Education, Universidad de Córdoba, 14071 Cordoba, SpainDepartment of Mathematics, Faculty of Education, Universidad de Córdoba, 14071 Cordoba, SpainDepartment of Mathematics, Faculty of Education, Universidad de Córdoba, 14071 Cordoba, SpainHistory of mathematics and mathematics education research allows us to know, among other issues: the influence that certain textbooks have had on the teaching of school mathematics, in academic or professional training, during a certain historical period; as well as the scientific advances achieved in each historical period and their incorporation into the teaching of the subject matter. In this work, we focus our attention on the applications of the method of finding maxima and minima included in the textbooks published during the 18th century in Spain. Specifically, we identify the approach of the algorithm used, the shortcomings or deficiencies that the posing of the proposed problems may have, the verification of the nature of the optimal points obtained and the consideration—or not—of the negative solutions in the process of resolution.https://www.mdpi.com/2227-7390/10/13/232218th centurytextbooksmaxima and minima problemsdifferential calculus |
| spellingShingle | José Carlos Casas-Rosal Carmen León-Mantero Noelia Jiménez-Fanjul David Gutiérrez-Rubio Optimization Problems in Spanish Differential Calculus Books Published in the 18th Century Mathematics 18th century textbooks maxima and minima problems differential calculus |
| title | Optimization Problems in Spanish Differential Calculus Books Published in the 18th Century |
| title_full | Optimization Problems in Spanish Differential Calculus Books Published in the 18th Century |
| title_fullStr | Optimization Problems in Spanish Differential Calculus Books Published in the 18th Century |
| title_full_unstemmed | Optimization Problems in Spanish Differential Calculus Books Published in the 18th Century |
| title_short | Optimization Problems in Spanish Differential Calculus Books Published in the 18th Century |
| title_sort | optimization problems in spanish differential calculus books published in the 18th century |
| topic | 18th century textbooks maxima and minima problems differential calculus |
| url | https://www.mdpi.com/2227-7390/10/13/2322 |
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