rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Leibniz on the Parallel Postulate and the Foundations of Geometry
    sub title: The Unpublished Manuscripts
  name:
    name part: De Risi, Vincenzo.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2016
    edition: 1st ed. 2016.
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: VIII, 195 p. online resource.
  abstract: 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.
  table of contents: 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.
  note: by Vincenzo De Risi.
  subject:
    topic: Mathematics
  subject:
    topic: Philosophy
  subject:
    topic: Geometry
  subject:
    topic: History
  subject:
    topic: Mathematics
  subject:
    topic: History of Mathematical Sciences
  subject:
    topic: Geometry
  subject:
    topic: History of Philosophy
  classification: QA21-27
  classification: 510.9
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Science Networks. Historical Studies, 51
  identifier: 9783319198637
  identifier: http://dx.doi.org/10.1007/978-3-319-19863-7
  record info:
    record creation date: 160128
    record change date: 20160128085235.0
    record identifier: 978-3-319-19863-7