Some Ideas on the Evolution of Real Mathematical Analysis
DOI:
https://doi.org/10.17268/sel.mat.2021.01.17Keywords:
Archimedes, Newton, Euler, Fourier, Riemann, CantorAbstract
From Antiquity to the 19th century, we give some brief comments and historical examples that motivate and illustrate some results in the evolution of mathematical analysis.
References
Delachet A. Análisis Matemático. Madrid: Edit. Tecnos. S.A. 1973.
Devinatz A. Advanced Calculus. New York: Holt, Rinehartand Winston. 1968.
Dunham W. El Universo de las Matem´aticas. Madrid: Edic. Pirámide. 1995.
Heath T L. The Works of Archimedes. Cambridge: Cambridge University Press. 1897.
Jahnke H N. A History of Analysis. Essen: University of Essen, 2003.
Ortiz A. Algunas Ideas sobre la Génesis del Cálculo. Infinitesimal. Selecciones Matemática. 2021; vol 8(1):197-218.
Ortiz, A. La Matemática a Través de Clásicas áreas.[Internet] Lima: Vol. 2. PUCP. 2014. urlhttps://www.pucp.edu.pe/profesor/jesus-ortiz-fernandez/publicaciones/?x& pagina=1
Stahl S. Real Analysis. A Historical Approach. New York: John Willey-Sons. 1999.
Stillwell J. Mathematics and his History. New York: Springer. 2001.
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