arXiv Open Access 2025

Episodes from the history of infinitesimals

Mikhail G. Katz

Lihat Sumber

Abstrak

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.

Topik & Kata Kunci

math.HO

Penulis (1)

Mikhail G. Katz

Format Sitasi

APA MLA BibTeX

Katz, M.G. (2025). Episodes from the history of infinitesimals. https://arxiv.org/abs/2503.04313

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓