Guida alla teoria degli insiemi (Convergenze (closed)) by Gabriele Lolli PDF

By Gabriele Lolli

ISBN-10: 8847007682

ISBN-13: 9788847007680

Il libro vuole aiutare a studiare los angeles teoria degli insiemi indicando l'articolazione della teoria, a partire dal concetto di infinito in step with arrivare alla definizione dei numeri, sia finiti sia infiniti, con los angeles diramazione tra ordinali e cardinali; insiste sulle proprietà degli insiemi numerabili, e sul continuo. Non sostituisce un manuale, perché non ci sono tutte le dimostrazioni ma solo alcune, thoughtful importanti, che danno il gusto dello stile di questa materia. Ricorda come l. a. teoria sia nata dalle esigenze dell'analisi matematica e come sia legata al problema dei fondamenti; discute il riduzionismo e presenta anche l. a. teoria alternativa rivale delle categorie. Distingue los angeles teoria propria dell'infinito dal linguaggio insiemistico che pervade los angeles matematica. Nelle applicazioni si insiste sul principio di induzione e sulle definizioni induttive, e sulla derivazione delle proprietà degli insiemi finiti, con tutte le definizioni equivalenti di finito, e si indica lo studio delle versioni effettive dei risultati teorici, in particolare los angeles definizione esplicita di funzioni ed enumerazioni, fino gettare un ponte con los angeles teoria della calcolabilità, in vista dell'insegnamento.

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Guida alla teoria degli insiemi (Convergenze (closed)) (Italian Edition) by Gabriele Lolli


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