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A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia
Barnes and Noble
A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia
Current price: $109.99
Barnes and Noble
A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia
Current price: $109.99
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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.