SMIS: A Stepwise Multiple Integration Solver Using a CAS
Multiple Integration is a very important topic in different applications in Engineering and other Sciences. Using numerical software to get an approximation to the solution is a normal procedure. Another approach is working in an algebraic form to obtain an exact solution or to get general solutions...
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oai:doaj.org-article:817eb94d704d4789a6bd5f9b354f26952021-11-25T18:16:43ZSMIS: A Stepwise Multiple Integration Solver Using a CAS10.3390/math92228662227-7390https://doaj.org/article/817eb94d704d4789a6bd5f9b354f26952021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2866https://doaj.org/toc/2227-7390Multiple Integration is a very important topic in different applications in Engineering and other Sciences. Using numerical software to get an approximation to the solution is a normal procedure. Another approach is working in an algebraic form to obtain an exact solution or to get general solutions depending on different parameters. Computer Algebra Systems (CAS) are needed for this last approach. In this paper, we introduce SMIS, a new stepwise solver for multiple integration developed in a CAS. The two main objectives of SMIS are: (1) to increase the capabilities of CAS to help the user to deal with this topic and (2) to be used in Math Education providing an important tool for helping with the teaching and learning process of this topic. SMIS can provide just the final solution or an optional stepwise solution (even including some theoretical comments). The optional stepwise solutions provided by SMIS are of great help for (2). Although SMIS has been developed in the specific CAS <span style="font-variant: small-caps;">Derive</span>, since the code is provided, it can be easily migrated to any CAS which deals with integrals and text management that allow us to display comments for intermediate steps.José Luis Galán-GarcíaPedro Rodríguez-CielosYolanda Padilla-DomínguezMaría Ángeles Galán-GarcíaIván AtenciaPablo Rodríguez-PadillaGabriel Aguilera-VenegasMDPI AGarticlecomputer algebra systemsmultiple integrationadvanced calculusmathematical programmingmathematical educationMathematicsQA1-939ENMathematics, Vol 9, Iss 2866, p 2866 (2021) |
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computer algebra systems multiple integration advanced calculus mathematical programming mathematical education Mathematics QA1-939 |
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computer algebra systems multiple integration advanced calculus mathematical programming mathematical education Mathematics QA1-939 José Luis Galán-García Pedro Rodríguez-Cielos Yolanda Padilla-Domínguez María Ángeles Galán-García Iván Atencia Pablo Rodríguez-Padilla Gabriel Aguilera-Venegas SMIS: A Stepwise Multiple Integration Solver Using a CAS |
| description |
Multiple Integration is a very important topic in different applications in Engineering and other Sciences. Using numerical software to get an approximation to the solution is a normal procedure. Another approach is working in an algebraic form to obtain an exact solution or to get general solutions depending on different parameters. Computer Algebra Systems (CAS) are needed for this last approach. In this paper, we introduce SMIS, a new stepwise solver for multiple integration developed in a CAS. The two main objectives of SMIS are: (1) to increase the capabilities of CAS to help the user to deal with this topic and (2) to be used in Math Education providing an important tool for helping with the teaching and learning process of this topic. SMIS can provide just the final solution or an optional stepwise solution (even including some theoretical comments). The optional stepwise solutions provided by SMIS are of great help for (2). Although SMIS has been developed in the specific CAS <span style="font-variant: small-caps;">Derive</span>, since the code is provided, it can be easily migrated to any CAS which deals with integrals and text management that allow us to display comments for intermediate steps. |
| format |
article |
| author |
José Luis Galán-García Pedro Rodríguez-Cielos Yolanda Padilla-Domínguez María Ángeles Galán-García Iván Atencia Pablo Rodríguez-Padilla Gabriel Aguilera-Venegas |
| author_facet |
José Luis Galán-García Pedro Rodríguez-Cielos Yolanda Padilla-Domínguez María Ángeles Galán-García Iván Atencia Pablo Rodríguez-Padilla Gabriel Aguilera-Venegas |
| author_sort |
José Luis Galán-García |
| title |
SMIS: A Stepwise Multiple Integration Solver Using a CAS |
| title_short |
SMIS: A Stepwise Multiple Integration Solver Using a CAS |
| title_full |
SMIS: A Stepwise Multiple Integration Solver Using a CAS |
| title_fullStr |
SMIS: A Stepwise Multiple Integration Solver Using a CAS |
| title_full_unstemmed |
SMIS: A Stepwise Multiple Integration Solver Using a CAS |
| title_sort |
smis: a stepwise multiple integration solver using a cas |
| publisher |
MDPI AG |
| publishDate |
2021 |
| url |
https://doaj.org/article/817eb94d704d4789a6bd5f9b354f2695 |
| work_keys_str_mv |
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