Episodes from the history of infinitesimals
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| Názov: | Episodes from the history of infinitesimals |
|---|---|
| Autori: | Mikhail G. Katz |
| Zdroj: | British Journal for the History of Mathematics. 40:123-135 |
| Publication Status: | Preprint |
| Informácie o vydavateľovi: | Informa UK Limited, 2025. |
| Rok vydania: | 2025 |
| Predmety: | 01A45, 01A61, 01A85, 01A90, 26E35, Mathematics - History and Overview, History and Overview (math.HO), FOS: Mathematics |
| Popis: | Infinitesimals have seen ups and downs in their tumultuous history. In the 18th century, d'Alembert set the tone by describing infinitesimals as chimeras. Some adversaries of infinitesimals, including Moigno and Connes, picked up on the term. We highlight the work of Cauchy, Noël, Poisson and Riemann. We also chronicle reactions by Moigno, Lamarle and Cantor, and signal the start of a revival with Peano. 17 pages. To appear in British Journal for the History of Mathematics |
| Druh dokumentu: | Article |
| Jazyk: | English |
| ISSN: | 2637-5494 2637-5451 |
| DOI: | 10.1080/26375451.2025.2474811 |
| DOI: | 10.48550/arxiv.2503.04313 |
| Prístupová URL adresa: | http://arxiv.org/abs/2503.04313 |
| Rights: | CC BY NC ND CC BY |
| Prístupové číslo: | edsair.doi.dedup.....878aa7c05fd893b7eef1fa50df430130 |
| Databáza: | OpenAIRE |
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Nájsť tento článok vo Web of Science | Abstrakt: | Infinitesimals have seen ups and downs in their tumultuous history. In the 18th century, d'Alembert set the tone by describing infinitesimals as chimeras. Some adversaries of infinitesimals, including Moigno and Connes, picked up on the term. We highlight the work of Cauchy, Noël, Poisson and Riemann. We also chronicle reactions by Moigno, Lamarle and Cantor, and signal the start of a revival with Peano.<br />17 pages. To appear in British Journal for the History of Mathematics |
|---|---|
| ISSN: | 26375494 26375451 |
| DOI: | 10.1080/26375451.2025.2474811 |