Fat manifolds and linear connections /

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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 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:
Differential calculus.
Commutative algebra.
Manifolds (Mathematics)
Algebras, Linear.
Calcul différentiel.
Algèbre commutative.
Variétés (Mathématiques)
Algèbre linéaire.
MATHEMATICS > Differential Equations > General.
Algebras, Linear
Commutative algebra
Differential calculus
Acceso en línea:Texto completo
Descripción
Sumario: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.
Descripción Física:1 online resource (xii, 297 pages) : illustrations
Bibliografía:Includes bibliographical references (pages 281-282) and index.
ISBN:9789812819055
9812819053

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