Science Networks. Historical Studies

Leibniz on the Parallel Postulate and the Foundations of Geometry

The Unpublished Manuscripts

Authors: De Risi, Vincenzo

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  • Provides the first edition of Leibniz’s papers that attempt to prove the Parallel Postulate
  • Discusses at length the history of the foundations of geometry in the seventeenth century
  • Gives a new perspective on the historical development of non-Euclidean geometry
  • A detailed monograph on Leibniz’s geometrical studies and mathematical epistemology
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eBook $89.00
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  • ISBN 978-3-319-19863-7
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  • Immediate eBook download after purchase and usable on all devices
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Hardcover $119.99
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Softcover $119.99
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About this book

This book offers a general introduction to the geometrical studies of Gottfried Wilhelm Leibniz (1646-1716) 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 non-Euclidean 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 seventeenth-century 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 non-Euclidean 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 non-Euclidean 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 non-Euclidean geometry.

Reviews

“By bringing together all of the known relevant Leibnizian writings on the subject, De Risi has rendered a very valuable service to Leibniz scholars and historians of seventeenth-century mathematics. This volume is indispensable for anyone interested in the development of non-Euclidean geometry or the mathematical thought of Leibniz.” (Douglas M. Jesseph, Isis, Vol. 108 (3), September, 2017)


Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $89.00
price for USA in USD
  • ISBN 978-3-319-19863-7
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • Immediate eBook download after purchase and usable on all devices
  • Bulk discounts available
Hardcover $119.99
price for USA in USD
Softcover $119.99
price for USA in USD
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Bibliographic Information

Bibliographic Information
Book Title
Leibniz on the Parallel Postulate and the Foundations of Geometry
Book Subtitle
The Unpublished Manuscripts
Authors
Series Title
Science Networks. Historical Studies
Series Volume
51
Copyright
2016
Publisher
Birkhäuser Basel
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-19863-7
DOI
10.1007/978-3-319-19863-7
Hardcover ISBN
978-3-319-19862-0
Softcover ISBN
978-3-319-79288-0
Series ISSN
1421-6329
Edition Number
1
Number of Pages
VIII, 195
Topics