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Calculus Without Limits by Giuseppe Furnari (English) Paperback Book
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Calculus Without Limits
by Giuseppe Furnari
The Greek of the classical age, with Euclid and Archimedes, have conceived very next ideas to those that have allowed the invention of the Infinitesimal and Integral calculation. The author thinks how just Euclide has grazed the concept of infinitesimal, with his theorem related to the "horn angle." It was then in 1600 that Leibniz and Newton they created the Infinitesimal Calculus and that Integral. But the infinitesimals have always elicited criticisms for their logical contradictions, immediately stigmatized by the bishop Berkeley. With the method of the double limit of Weierstrass, the problem apparently, seems overcome. Then in the 1900 Robinson overcome the impasse from the logical point of view, but resorting to the Analysis not-standard, in the sphere of not Archimedean fields. With this work the author overcomes the issue of the infinitesimals, adopting a very classical methodology and, above all, of easy understanding.
FORMAT
PaperbackLANGUAGE
EnglishCONDITION
Brand New
Publisher Description
The Greek of the classical age, with Euclid and Archimedes, have conceived very next ideas to those that have allowed the invention of the Infinitesimal and Integral calculation. The author thinks how just Euclide has grazed the concept of infinitesimal, with his theorem related to the "horn angle". It was then in 1600 that Leibniz and Newton they created the Infinitesimal Calculus and that Integral. But the infinitesimals have always elicited criticisms for their logical contradictions, immediately stigmatized by the bishop Berkeley. With the method of the double limit of Weierstrass, the problem apparently, seems overcome. Then in the 1900 Robinson overcome the impasse from the logical point of view, but resorting to the Analysis not-standard, in the sphere of not Archimedean fields. With this work the author overcomes the issue of the infinitesimals, adopting a very classical methodology and, above all, of easy understanding.
Details
ISBN1445221985Author Giuseppe FurnariShort Title CALCULUS W/O LIMITSPages 104Publisher Lulu.comLanguage EnglishISBN-10 1445221985ISBN-13 9781445221984Media BookFormat PaperbackImprint Lulu.comCountry of Publication United KingdomIllustrations Illustrations, black and whitePlace of Publication LondonAU Release Date 2009-10-31NZ Release Date 2009-10-31Year 2009Publication Date 2009-10-31Audience GeneralUK Release Date 2009-10-31
