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Nuovo Calcolo Senza Limiti: Edizione Finale by Giuseppe Furnari

Nuovo Calcolo Senza Limiti: Edizione Finale

by Giuseppe Furnari
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Book cover type: Paperback
  • ISBN13: 9781291215380
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Lulu.com
  • Publisher Imprint: Lulu.com
  • Publication Date:
  • Pages: 260
  • Original Price: GBP 15.52
  • Language: Italian
  • Edition: N/A
  • Item Weight: 368 grams
  • BISAC Subject(s): General

I Greci dell'età classica, con Euclide ed Archimede, hanno concepito idee molto prossime a quelle che hanno permesso l'invenzione del Calcolo Infinitesimale ed Integrale. L'autore pensa che proprio Euclide ha sfiorato il concetto di infinitesimo, con il suo teorema relativo all'angolo "a corno". Fu poi nel 1600 che Leibniz e Newton crearono il Calcolo Infinitesimale e quello Integrale. Ma gli infinitesimi hanno sempre suscitato critiche per le loro contraddizioni logiche, fin da subito stigmatizzate dal vescovo Berkeley. Con il metodo del doppio limite di Weierstrass il problema sembra superato. Poi nel 1900 Robinson, utilizzando sofisticate tecniche di teoria dei modelli, supera l'impasse dal punto di vista logico, ricorrendo però all'Analisi Non-Standard, nell'ambito dei campi non archimedei. Con questo lavoro l'autore supera la problematica degli infinitesimi, adottando una metodologia molto classica e, soprattutto, di facile comprensione.

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