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Analysis with ultrasmall numbers — Mathematics with ultrasmall numbers

Only in current section. Analysis with ultrasmall numbers. Systematic use of infinitesimals in mathematics originated with Leibniz in the 17th century. Infinitesimals served as a mainstream tool of calculus for the next 150 years; unfortunately, mathematicians of the period never succeeded in formulating unambiguous rules for working with them and the idea was gradually abandoned in favour of the now-standard epsilon-delta method of Weierstrass. An MAA review of the book can be found on the MAA website.

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Analysis with ultrasmall numbers — Mathematics with ultrasmall numbers | ultrasmall.org Reviews

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Only in current section. Analysis with ultrasmall numbers. Systematic use of infinitesimals in mathematics originated with Leibniz in the 17th century. Infinitesimals served as a mainstream tool of calculus for the next 150 years; unfortunately, mathematicians of the period never succeeded in formulating unambiguous rules for working with them and the idea was gradually abandoned in favour of the now-standard epsilon-delta method of Weierstrass. An MAA review of the book can be found on the MAA website.

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Analysis with ultrasmall numbers — Mathematics with ultrasmall numbers | ultrasmall.org Reviews

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Only in current section. Analysis with ultrasmall numbers. Systematic use of infinitesimals in mathematics originated with Leibniz in the 17th century. Infinitesimals served as a mainstream tool of calculus for the next 150 years; unfortunately, mathematicians of the period never succeeded in formulating unambiguous rules for working with them and the idea was gradually abandoned in favour of the now-standard epsilon-delta method of Weierstrass. An MAA review of the book can be found on the MAA website.

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ultrasmall.org

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Mathematics with ultrasmall numbers

http://www.ultrasmall.org/accessibility-info

Only in current section. This site uses the Open Source Content Management System Plone. And has been designed to be completely accessible and usable, working in accordance with the Web Content Accessibility Guidelines (. V10) If there is anything on this site — accessibility or validation related — that is not according to the standard, please contact the Site Administration. And not the Plone Team. Access keys are a navigation device enabling you to get around this web site using your keyboard. Are sub...

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Foundations — Mathematics with ultrasmall numbers

http://www.ultrasmall.org/foundations-1

Only in current section. When introducing a new method for performing analysis, by means of adding new axioms, it is important to prove that this extension cannot make contradictions appear. It is not necessary to study foundations in detail to be able to use analysis with ultrasmall numbers. One can very well use it based on trust. Nonetheless, a proof of the consistency of the system is given here. The axioms introduced for analysis with ultrasmall numbers determine. 2000-2016 by the Plone Foundation.

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Mathematics with ultrasmall numbers

http://www.ultrasmall.org/sitemap

Only in current section. An overview of the available content on this site. Keep the pointer still over an item for a few seconds to get its description. 2000-2016 by the Plone Foundation. And friends. Distributed under the GNU GPL license. Powered by Plone and Python.

4

Erratum — Mathematics with ultrasmall numbers

http://www.ultrasmall.org/erratum

Only in current section. Errors in "Analysis with ultrasmall numbers". In the sentence beginning More interesting for our purposes" the phrase all standard real numbers have should be all nonzero standard real numbers have. And the sentence ends: for all standard (n ). It should be for all standard (n 0 ). 2000-2016 by the Plone Foundation. And friends. Distributed under the GNU GPL license. Powered by Plone and Python.

5

Analyse avec ultrapetits — Mathematics with ultrasmall numbers

http://www.ultrasmall.org/analyse-avec-ultrapetits

Only in current section. Présentation des principes généraux. L'utilisation systématique des infinitésimaux commence avec Leibniz au 17ème siècle. Les infinitésimaux ont été un des outils de base de l'analyse pour les 150 années suivantes. Malheureusement les mathématiciens de l'époque n'ont pas réussi à en donner une formulation non ambiguë et la méthode a été progressivement abandonnée au profit de la méthode, due à Cauchy et Weierstrass, des epsilon et des delta. 2000-2016 by the Plone Foundation.

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ultrasmall.org

Analysis with ultrasmall numbers — Mathematics with ultrasmall numbers

Only in current section. Analysis with ultrasmall numbers. Systematic use of infinitesimals in mathematics originated with Leibniz in the 17th century. Infinitesimals served as a mainstream tool of calculus for the next 150 years; unfortunately, mathematicians of the period never succeeded in formulating unambiguous rules for working with them and the idea was gradually abandoned in favour of the now-standard epsilon-delta method of Weierstrass. An MAA review of the book can be found on the MAA website.

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