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A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton’s Principia

Produktform: E-Buch Text Elektronisches Buch in proprietärem

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 , 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.weiterlesen

Dieser Artikel gehört zu den folgenden Serien

Elektronisches Format: PDF

Sprache(n): Englisch

ISBN: 978-0-85729-329-9 / 978-0857293299 / 9780857293299

Verlag: Springer London

Erscheinungsdatum: 30.09.2012

Seiten: 140

Autor(en): Jacques Fleuriot

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