Matemáticas (plan 1983) 2023-2

Optativas de los Niveles V y VI, Historia de las Matemáticas I

HISTORIA DE LAS MATEMÁTICAS I

Semestre Enero 2023- II

J. Rafael Martínez E.

Rafael Reyes Sánchez

1. La prehistoria:

1. Matemática babilónica.
2. Sistemas numéricos alfabéticos y posicionales.
3. Aritmética babilónica.

2. Matemática griega

1. La prehistoria, Pitágoras, Tales..
2. El gnomon
3. Número y figura
4. Geometría: práctica y axiomática o pura

3. Los tres problemas clásicos de la matemática griega. Las soluciones recopiladas por Eutocio.

4. Euclides y los Elementos
5. Apolonio y las Cónicas
6. Arquímedes. El método
7. Medias proporcionales y su determinación mediante métodos no euclidianos

8. El renacimiento europeo.

Los abacistas italianos.

La controversia acerca de la ecuación cúbica y de las ecuaciones

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