Reminescences

A short history of infinite series

Franka Miriam Brückler orcid.org/0000-0002-8410-0476 ; Matematički odsjek, Prirodoslovno-matematički fakultet, Sveučilište u Zagrebu *

* Corresponding author.

Abstract

In this paper, we follow the main moments in the history of infinite summations, from the early ideas formed in Greek antiquity, over first explicit considerations in the 14th and 15th centuries, the gradual systematisation of the theory from the mid-17th to mid-18th century, up to the final formalisation in the 1820s.

Keywords

infinite series, geometric series, binomial series, power series, harmonic series, Zeno of Elea, Archimedes of Syracuse, Nicole d’Oresme, Madhava, Gregory St. Vincent, James Gregory, Nicolaus Mercator, Isaac Newton, Gottfried Wilhelm Leibniz, Basel problem, Leonhard Euler, Augustin-Louis Cauchy

Hrčak ID:

344450

URI

https://hrcak.srce.hr/344450

Publication date:

10.12.2025.

Article data in other languages: croatian

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