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- Title
Exploring a Class of Substitutions and their Applications: Reflections on Teaching Foundations of Real Analysis.
- Authors
CINTORA, MIREYA; GUTIERREZ, CLAUDIA; SOTO, ROBERTO; SUCEAVA, BOGDAN D.; VERDUGO, ANAEL
- Abstract
In the article, the authors discuss the mathematical method of integration that can be used in the calculation of Riemann integrals as proposed by Joseph Liouville (1809-1882). Topics include how Liouville discovered the classes of integrals that could be transformed or reduced to other integrals and the concept developed by P. L. Chebyshev of systematically classifying the procedures of integration of some classes of functions.
- Subjects
DIFFERENTIAL forms; DEFINITE integrals; INTEGRAL calculus; RIEMANN integral; MATHEMATICAL analysis; SUBSTITUTIONS (Mathematics)
- Publication
Creative Mathematics & Informatics, 2022, Vol 31, Issue 1, p135
- ISSN
1584-286X
- Publication type
Article
- DOI
10.37193/CMI.2022.01.13