Some Ideas on the Evolution of Real Mathematical Analysis

Authors

  • Alejandro Ortiz Fernández Sección Matemática. Pontificia Universidad Católica del Perú, Lima, Perú.

DOI:

https://doi.org/10.17268/sel.mat.2021.01.17

Keywords:

Archimedes, Newton, Euler, Fourier, Riemann, Cantor

Abstract

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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Published

2021-07-29

How to Cite

Ortiz Fernández, A. (2021). Some Ideas on the Evolution of Real Mathematical Analysis. Selecciones Matemáticas, 8(01), 196 - 217. https://doi.org/10.17268/sel.mat.2021.01.17

Issue

Vol. 8 No. 01 (2021): January-July

Section

Mathematics' Teaching

License

Copyright (c) 2021 Alejandro Ortiz Fernández

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