×

Hellenistic mathematics. (English) Zbl 1418.01002

Keyser, Paul T. (ed.) et al., The Oxford handbook of science and medicine in the classical world. Oxford: Oxford University Press. 269-292 (2018).
This is a very dense presentation of Hellenisic mathematics that focuses not just on the mathematics of the period, but on the literary style of the texts, on the production and diffusion of texts (“usually sent to some addressee and were frequently preceded by a prefatory epistle”), the subtle points of geometric constructions, and the manuscript tradition. The part dealing with the mathematics of the period focuses on the study of regular polyhedra, the quadratures obtained using the method of exhaustion, and the application of conics to the theory of burning mirrors. Hipparchus’s numbers (“affirmation gives 103049 conjoined propositions and negation 310952”), the second of which is the 10th Schröder number, re-introduced in 1870, are also mentioned, and there is a complete list of the works composed in Hellenistic times, both extant and lost.
For the entire collection see [Zbl 1401.01001].

MSC:

01A20 History of Greek and Roman mathematics
Full Text: DOI