Episodes from the history of infinitesimals
Episodes from the history of infinitesimals
数学
Mikhail G. Katz.Episodes from the history of infinitesimals[EB/OL].(2025-03-06)[2025-10-25].https://arxiv.org/abs/2503.04313.点此复制
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, No\"el, Poisson and Riemann. We also
chronicle reactions by Moigno, Lamarle and Cantor, and signal the start of a
revival with Peano.
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