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Book synopsis

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.

Book details

• Full title: CALCULUS WITHOUT LIMITS
• Author: Giuseppe FURNARI
• Language: English
• Binding: Paperback
• Number of pages: 104
• EAN: 9781409288213
• ISBN: 1409288218
• ID: 53071900
• Publisher: Lulu.com
• Weight: 159 g
• Dimensions: 234 × 156 × 5 mm
• Date of publishing: 11. June 2009

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