A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia (Softcover Reprint of the Original 1st 2001)Paperback - Softcover Reprint of the Original 1st 2001, 13 September 2012

A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia (Softcover Reprint of the Original 1st 2001)
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Part of Series
Distinguished Dissertations
Print Length
140 pages
Language
English
Publisher
Springer
Date Published
13 Sep 2012
ISBN-10
1447110412
ISBN-13
9781447110415

Description

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.

Product Details

Book Edition:
Softcover Reprint of the Original 1st 2001
Book Format:
Paperback
Country of Origin:
NL
Date Published:
13 September 2012
Dimensions:
23.39 x 15.6 x 0.86 cm
ISBN-10:
1447110412
ISBN-13:
9781447110415
Language:
English
Location:
London
Pages:
140
Publisher:
Weight:
231.33 gm