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Fat manifolds and linear connections /

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 var...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: De Paris, Alessandro
Otros Autores: Vinogradov, A. M. (Aleksandr Mikhaĭlovich)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Hackensack, NJ : World Scientific, ©2009.
Temas:
Acceso en línea:Texto completo

MARC

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245 1 0 |a Fat manifolds and linear connections /  |c Alessandro De Paris, Alexandre Vinogradov. 
260 |a Hackensack, NJ :  |b World Scientific,  |c ©2009. 
300 |a 1 online resource (xii, 297 pages) :  |b illustrations 
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504 |a Includes bibliographical references (pages 281-282) and index. 
505 0 |a Elements of differential calculus over commutative algebras -- Basic differential calculus on fat manifolds -- Linear connections -- Covariant differential -- Cohomological aspects of linear connections. 
588 0 |a Print version record. 
520 |a 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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650 0 |a Commutative algebra. 
650 0 |a Manifolds (Mathematics) 
650 0 |a Algebras, Linear. 
650 6 |a Calcul différentiel. 
650 6 |a Algèbre commutative. 
650 6 |a Variétés (Mathématiques) 
650 6 |a Algèbre linéaire. 
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650 7 |a Algebras, Linear  |2 fast 
650 7 |a Commutative algebra  |2 fast 
650 7 |a Differential calculus  |2 fast 
650 7 |a Manifolds (Mathematics)  |2 fast 
700 1 |a Vinogradov, A. M.  |q (Aleksandr Mikhaĭlovich) 
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