A Combination of Geometry Theorem Proving and Nonstandard Analysis With Application to Newton's Principia - Couverture rigide

Fleuriot, Jacques

Couverture rigide

ISBN 10 : 1852334665 ISBN 13 : 9781852334666

Editeur : Springer London Ltd, 2001

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.

Détails de l'édition

• Éditeur: Springer London Ltd
• Date d'édition: 2001
• Langue: anglais
• ISBN 10: 1852334665
• ISBN 13: 9781852334666
• Reliure: Relié
• Nombre de pages: 153
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne