A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia

Jacques Fleuriot

ISBN 10: 1447110412 / ISBN 13: 9781447110415

Published by Springer, 2012

About this Item

A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia | Jacques Fleuriot | Taschenbuch | Distinguished Dissertations | xiii | Englisch | 2012 | Springer | EAN 9781447110415 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.

Seller Inventory # 105652056

Bibliographic Details

• Title: A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 1447110412
• ISBN 13: 9781447110415
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 235W x 155H x 9D millimeters 235 millimeters width by 155 millimeters height by 9 millimeters depth
• Weight: 254 grams
• Seller catalogs:
  • Bücher

About this title

Synopsis

Sir Isaac Newton's philosophi Naturalis Principia Mathematica'(the Principia) contains a prose-style mixture of geometric and limit reasoning that has often been viewed as logically vague.
In A Combination of Geometry Theorem Proving and Nonstandard Analysis, Jacques Fleuriot presents a formalization of Lemmas and Propositions from the Principia using a combination of methods from geometry and nonstandard analysis. The mechanization of the procedures, which respects much of Newton's original reasoning, is developed within the theorem prover Isabelle. The application of this framework to the mechanization of elementary real analysis using nonstandard techniques is also discussed.