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Geometria Differenziale

Language ItalianItalian
Book Paperback
Book Geometria Differenziale Marco Abate
Libristo code: 05321697
Publishers Springer, Berlin, November 2010
L'opera fornisce una introduzione alla geometria delle varietŕ differenziabili, illustrandone le pri... Full description
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L'opera fornisce una introduzione alla geometria delle varietŕ differenziabili, illustrandone le principali proprietŕ e descrivendo le principali tecniche e i piů importanti strumenti usati per il loro studio. Uno degli obiettivi primari dell'opera č di fungere da testo di riferimento per chi (matematici, fisici, ingegneri) usa la geometria differenziale come strumento; inoltre puň essere usato come libro di testo per diversi corsi introduttivi alla geometria differenziale, concentrandosi su alcuni dei vari aspetti della teoria presentati nell'opera. Piů in dettaglio, nell'opera saranno trattati i seguenti argomenti: richiami di algebra multilineare e tensoriale, spesso non presentati nei corsi standard di algebra lineare; varietŕ differenziali, incluso il teorema di Whitney; fibrati vettoriali, incluso il teorema di Frobenius e un'introduzione ai fibrati principali; gruppi di Lie, incluso il teorema di corrispondenza fra sottogruppi e sottoalgebre; coomologia di de Rham, inclusa la dualitŕ di Poincaré e il teorema di de Rham; connessioni, inclusa la teoria delle geodetiche; e geometria Riemanniana, con particolare attenzione agli operatori di curvatura e inclusi teoremi di Cartan-Hadamard, Bonnet-Myers, e Synge-Weinstein. Come abitudine degli autori, il testo č scritto in modo da favorire una lettura attiva, cruciale per un buon apprendimento di argomenti matematici; inoltre č corredato da numerosi esempi svolti ed esercizi proposti.

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About the book

Full name Geometria Differenziale
Language Italian
Binding Book - Paperback
Date of issue 2011
Number of pages 472
EAN 9788847019195
ISBN 8847019192
Libristo code 05321697
Publishers Springer, Berlin
Weight 932
Dimensions 159 x 236 x 25
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