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- Non-standard_calculus abstract "In mathematics, non-standard calculus is the modern application of infinitesimals, in the sense of non-standard analysis, to differential and integral calculus. It provides a rigorous justification for some arguments in calculus that were previously considered merely heuristic.Calculations with infinitesimals were widely used before Karl Weierstrass sought to replace them with the (ε, δ)-definition of limit starting in the 1870s. (See history of calculus.) For almost one hundred years thereafter, mathematicians like Richard Courant viewed infinitesimals as being naive and vague or meaningless.Contrary to such views, Abraham Robinson showed in 1960 that infinitesimals are precise, clear, and meaningful, building upon work by Edwin Hewitt and Jerzy Łoś. According to Jerome Keisler, "Robinson solved a three hundred year old problem by giving a precise treatment of infinitesimals. Robinson's achievement will probably rank as one of the major mathematical advances of the twentieth century."".
- Non-standard_calculus wikiPageExternalLink home.html.
- Non-standard_calculus wikiPageExternalLink calc.
- Non-standard_calculus wikiPageExternalLink calc.html.
- Non-standard_calculus wikiPageExternalLink calc.html.).
- Non-standard_calculus wikiPageExternalLink foundations.html.
- Non-standard_calculus wikiPageID "643021".
- Non-standard_calculus wikiPageRevisionID "606682272".
- Non-standard_calculus hasPhotoCollection Non-standard_calculus.
- Non-standard_calculus id "p/i050950".
- Non-standard_calculus title "Infinitesimal calculus".
- Non-standard_calculus subject Category:Calculus.
- Non-standard_calculus subject Category:Infinity.
- Non-standard_calculus subject Category:Non-standard_analysis.
- Non-standard_calculus comment "In mathematics, non-standard calculus is the modern application of infinitesimals, in the sense of non-standard analysis, to differential and integral calculus. It provides a rigorous justification for some arguments in calculus that were previously considered merely heuristic.Calculations with infinitesimals were widely used before Karl Weierstrass sought to replace them with the (ε, δ)-definition of limit starting in the 1870s.".
- Non-standard_calculus label "Non-standard calculus".
- Non-standard_calculus sameAs m.02zx1v.
- Non-standard_calculus sameAs Q17104781.
- Non-standard_calculus sameAs Q17104781.
- Non-standard_calculus wasDerivedFrom Non-standard_calculus?oldid=606682272.
- Non-standard_calculus isPrimaryTopicOf Non-standard_calculus.