Arthur / Rabouin

Leibniz on the Foundations of the Differential Calculus

Birkhäuser Verlag GmbH

ISBN 978-3-031-77258-0

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58,84 €

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Bibliografische Daten

Fachbuch

Buch. Softcover

2025

32 s/w-Abbildungen, 1 Farbabbildung.

In englischer Sprache

Umfang: xv, 287 S.

Format (B x L): 16,8 x 24 cm

Verlag: Birkhäuser Verlag GmbH

ISBN: 978-3-031-77258-0

Produktbeschreibung

This monograph presents an interpretive essay on the foundations of Leibniz’s calculus, accompanied by key texts in English translation. The essay examines Leibniz's evolving views on infinitesimals and infinite numbers, tracing their development from his early metaphysical ideas to his mature justifications of the calculus. Leibniz first proposed treating infinitesimals as fictions in the 1670s, in line with the mathematical practices of his time, where abstract concepts could be used in calculations without implying their existence. By 1676, he rejected their status as quantities, yet continued to refine his arguments on this topic into the 1690s. The essay concludes with an analysis of Leibniz’s defense of his calculus in the early 18th century, showing how his later works naturally extended from earlier insights. This monograph will be a valuable resource for scholars and students of Leibniz and the history of science.

Autorinnen und Autoren

Kundeninformationen

First book-length treatment of Leibniz's interpretation of infinitesimals and the calculus Includes many texts that have not been previously translated in English and also some transcribed for the first time Provides a comprehensive collection of Leibniz's writings on the interpretation of his differential calculus

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De Gruyter GmbH

Genthiner Straße 13
10785 Berlin, DE

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