A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton s Principia (Distinguished Dissertations)

Jacques Fleuriot

ISBN 10: 1447110412 / ISBN 13: 9781447110415

Published by Springer, 2012

About this Item

153 pages. 9.25x6.10x0.37 inches. In Stock.

Seller Inventory # x-1447110412

Bibliographic Details

• Title: A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton s Principia (Distinguished Dissertations)
• Publisher: Springer
• Publication Date: 2012
• Language: English
• ISBN 10: 1447110412
• ISBN 13: 9781447110415
• Binding: Paperback
• Condition: Brand New
• Weight: 0.25 kilograms

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.