Leibniz on the Parallel Postulate and the Foundations of Geometry [electronic resource] : The Unpublished Manuscripts / by Vincenzo De Risi.
By: De Risi, Vincenzo [author.].
Contributor(s): SpringerLink (Online service).
Material type: TextSeries: Science Networks. Historical Studies: 51Publisher: Cham : Springer International Publishing : Imprint: Birkhäuser, 2016Edition: 1st ed. 2016.Description: VIII, 195 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9783319198637.Subject(s): Geometry  Philosophy (General)  History of Mathematical Sciences  Geometry  History of PhilosophyAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 510.9 Online resources: Click here to access onlineItem type  Current location  Call number  Status  Date due  Barcode  Item holds  

EBOOKS 
ISI Library, Kolkata

Available  EB1853 
1.Introduction  2.The Theory of Parallel Lines in the Age of Leibniz  3.Leibniz’ Epistemology of Geometry and the Parallel Postulate  4.Leibniz’ Attempts to prove the Parallel Postulate  5.Reception and Legacy  Leibniz’ Texts on Parallel Lines  Bibliography.
This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (16461716) and his mathematical epistemology. In particular, it focuses on his theory of parallel lines and his attempts to prove the famous Parallel Postulate. Furthermore it explains the role that Leibniz’s work played in the development of nonEuclidean geometry. The first part is an overview of his epistemology of geometry and a few of his geometrical findings, which puts them in the context of the seventeenthcentury studies on the foundations of geometry. It also provides a detailed mathematical and philosophical commentary on his writings on the theory of parallels, and discusses how they were received in the eighteenth century as well as their relevance for the nonEuclidean revolution in mathematics. The second part offers a collection of Leibniz’s essays on the theory of parallels and an English translation of them. While a few of these papers have already been published (in Latin) in the standard Leibniz editions, most of them are transcribed from Leibniz’s manuscripts written in Hannover, and published here for the first time. The book provides new material on the history of nonEuclidean geometry, stressing the previously neglected role of Leibniz in these developments. This volume will be of interest to historians in mathematics, philosophy or logic, as well as mathematicians interested in nonEuclidean geometry.
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