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A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia Softcover Repri Edition
Contributor(s): Fleuriot, Jacques (Author)

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 ISBN: 1447110412     ISBN-13: 9781447110415
Publisher: Springer
OUR PRICE: $104.49  

Binding Type: Paperback - See All Available Formats & Editions
Published: September 2012
Qty:

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Additional Information
BISAC Categories:
- Computers | Expert Systems
- Computers | Computer Science
- Mathematics | Geometry - General
Dewey: 006.333
Series: Distinguished Dissertations
Physical Information: 0.34" H x 6.14" W x 9.21" L (0.51 lbs) 140 pages
 
Descriptions, Reviews, Etc.
Publisher 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.
 
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