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Record Nr. |
UNINA9910456900103321 |
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Autore |
De Paris Alessandro |
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Titolo |
Fat manifolds and linear connections [[electronic resource] /] / Alessandro De Paris, Alexandre Vinogradov |
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Pubbl/distr/stampa |
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Hackensack, NJ, : World Scientific, c2009 |
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ISBN |
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1-282-44094-2 |
9786612440946 |
981-281-905-3 |
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Descrizione fisica |
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1 online resource (310 p.) |
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Altri autori (Persone) |
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VinogradovA. M (Aleksandr Mikhaĭlovich) |
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Disciplina |
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Soggetti |
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Differential calculus |
Commutative algebra |
Manifolds (Mathematics) |
Algebras, Linear |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Description based upon print version of record. |
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Nota di bibliografia |
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Includes bibliographical references (p. 281-282) and index. |
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Nota di contenuto |
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Preface; Foreword; Contents; 0. Elements of Differential Calculus over Commutative Algebras; 1. Basic Differential Calculus on Fat Manifolds; 2. Linear Connections; 3. Covariant Differential; 4. Cohomological Aspects of Linear Connections; Bibliography; List of Symbols; Index |
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Sommario/riassunto |
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In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear and transparent manner the intrinsic structure of the associated differential calculus. The notion of a "fat manifold" introduced here then allows the reader to build a well-working analogy of this "connection calculus" with the usual one. |
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