Abstract The article offers a general account of the genesis of the absolute differential calculus (ADC), paying special attention to its links with the history of differential geometry. In relatively recent times, several historians have described the development of the ADC as a direct outgrowth either of the theory of algebraic and differential invariants or as a product of analytical investigations, thus minimizing the role of Riemann’s geometry in the process leading to its discovery. Our principal aim consists in challenging this historiographical tenet and analyzing the intimate connection between the development of Riemannian geometry and the birth of tensor calculus.

Alberto Cogliati

Archive for History of Exact Sciences

《精确科学史档案》通过分析数学、物理学、技术化学、计算机科学、天文学和生物学领域中严谨定量思想的历史进程和精确的自然理论，揭示了科学的概念基础。科学，以及它们与实验的联系。这本杂志滋养了符合数学科学标准的历史研究。其目的是快速、全面地出版具有非凡深度、广度和持久性的著作。

The Archive for History of Exact Sciences reveals the conceptual foundations of science and their connections to experiments by analyzing the historical development of rigorous quantitative thinking in fields such as mathematics, physics, chemistry, computer science, astronomy, and biology. This journal nurtures historical research that meets the standards of mathematical sciences, aiming to publish works of exceptional depth, breadth, and lasting significance quickly and comprehensively.

《Archive for History of Exact Sciences》通过分析数学、物理学、化学、计算机科学、天文学和生物学等领域中严谨的定量思想的历史进程，揭示了科学概念的基础及其与实验的联系。这本杂志致力于支持符合数学科学标准的历史研究，旨在快速、全面地出版具有深度、广度和持久性的优秀著作。

Category	Quartile
哲学	2
哲学, 科学史与科学哲学	2
哲学, 数学跨学科应用	2

Some remarks on the history of Ricci’s absolute differential calculus

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Journal Info

Category	Quartile
MATHEMATICS, INTERDISCIPLINARY APPLICATIONS	4