| A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia 2001 Edition Contributor(s): Fleuriot, Jacques (Author) |
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ISBN: 1852334665 ISBN-13: 9781852334666 Publisher: Springer OUR PRICE: $104.49 Product Type: Hardcover - Other Formats Published: June 2001 Annotation: 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. |
| Additional Information |
| BISAC Categories: - Computers | Expert Systems - Computers | Computer Science - Mathematics | Geometry - General |
| Dewey: 006.333 |
| LCCN: 2001031372 |
| Series: Distinguished Dissertations, |
| Physical Information: 0.64" H x 6.08" W x 9.32" (0.85 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. |