书目名称 | Leibniz on the Parallel Postulate and the Foundations of Geometry |
副标题 | The Unpublished Manu |
编辑 | Vincenzo De Risi |
视频video | |
概述 | 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 perspe |
丛书名称 | Science Networks. Historical Studies |
图书封面 |  |
描述 | .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 o |
出版日期 | Book 2016 |
关键词 | Leibniz; history of epistemology; history of geometry; non-Euclidean geometry; theory of parallel lines |
版次 | 1 |
doi | https://doi.org/10.1007/978-3-319-19863-7 |
isbn_softcover | 978-3-319-79288-0 |
isbn_ebook | 978-3-319-19863-7Series ISSN 1421-6329 Series E-ISSN 2296-6080 |
issn_series | 1421-6329 |
copyright | Springer International Publishing Switzerland 2016 |