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A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia (Hardcover, 2001 ed.) Loot Price: R3,111
Discovery Miles 31 110
A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia (Hardcover, 2001...

A Combination of Geometry Theorem Proving and Nonstandard Analysis with Application to Newton's Principia (Hardcover, 2001 ed.)

Jacques Fleuriot

Series: Distinguished Dissertations

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Loot Price R3,111 Discovery Miles 31 110 | Repayment Terms: R292 pm x 12*

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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.

General

Imprint: Springer London
Country of origin: United Kingdom
Series: Distinguished Dissertations
Release date: 2001
First published: 2001
Authors: Jacques Fleuriot
Dimensions: 235 x 155 x 11mm (L x W x T)
Format: Hardcover
Pages: 140
Edition: 2001 ed.
ISBN-13: 978-1-85233-466-6
Categories: Books > Science & Mathematics > Mathematics > Geometry > General
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LSN: 1-85233-466-5
Barcode: 9781852334666

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