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Unitext Ser.: Geometria Differenziale by Springer Staff, Marco Abate and Francesca Tovena (2011, Trade Paperback)

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Author Marco Abate, Francesca Tovena. Format Paperback. ISBN-13 9788847019195.

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Product Information

L'opera fornisce una introduzione alla geometria delle varieta differenziabili, illustrandone le principali proprieta e descrivendo le principali tecniche e i piu importanti strumenti usati per il loro studio. Uno degli obiettivi primari dell'opera e di fungere da testo di riferimento per chi (matematici, fisici, ingegneri) usa la geometria differenziale come strumento; inoltre puo essere usato come libro di testo per diversi corsi introduttivi alla geometria differenziale, concentrandosi su alcuni dei vari aspetti della teoria presentati nell'opera. Piu in dettaglio, nell'opera saranno trattati i seguenti argomenti: richiami di algebra multilineare e tensoriale, spesso non presentati nei corsi standard di algebra lineare; varieta 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 dualita di Poincare 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 e scritto in modo da favorire una lettura attiva, cruciale per un buon apprendimento di argomenti matematici; inoltre e corredato da numerosi esempi svolti ed esercizi proposti.

Product Identifiers

Publisher
Springer Milan
ISBN-10
8847019192
ISBN-13
9788847019195
eBay Product ID (ePID)
109066158

Product Key Features

Author
Springer Staff, Francesca Tovena, Marco Abate
Publication Name
Geometria Differenziale
Format
Trade Paperback
Language
Italian
Series
Unitext Ser.
Publication Year
2011
Type
Textbook
Number of Pages
Xiii, 472 Pages

Dimensions

Item Length
9.2in
Item Height
1in
Item Width
6.1in
Item Weight
26.1 Oz

Additional Product Features

Number of Volumes
1 Vol.
Lc Classification Number
Qa641-670
Reviews
From the reviews: "The book under review is a generous introduction to differential geometry, including basic notions on Lie groups, fiber bundles, cohomology, and an extensive presentation on Riemannian geometry. ... This book is a nice introduction to the geometry of differential manifolds: it illustrates the main properties and provides the important instruments. It can be helpful to mathematicians, physicists, engineers, and it can be also used as a textbook for various courses on differential geometry on different levels." (Cornelia Vizman, Zentralblatt MATH, Vol. 1230, 2012)
Copyright Date
2011
Topic
Geometry / Differential, Geometry / General
Dewey Decimal
516.36
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Mathematics

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Picture 1 of 1

Unitext Ser.: Geometria Differenziale by Springer Staff, Marco Abate and Francesca Tovena (2011, Trade Paperback)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

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