TY - BOOK AU - De Paris,Alessandro AU - Vinogradov,A.M. TI - Fat manifolds and linear connections SN - 9789812819055 AV - QA304 .D47 2009eb U1 - 515/.33 22 PY - 2009/// CY - Hackensack, NJ PB - World Scientific KW - Differential calculus KW - Commutative algebra KW - Manifolds (Mathematics) KW - Algebras, Linear KW - Calcul différentiel KW - Algèbre commutative KW - Variétés (Mathématiques) KW - Algèbre linéaire KW - MATHEMATICS KW - Differential Equations KW - General KW - bisacsh KW - fast KW - Electronic books N1 - Includes bibliographical references (pages 281-282) and index; Elements of differential calculus over commutative algebras -- Basic differential calculus on fat manifolds -- Linear connections -- Covariant differential -- Cohomological aspects of linear connections N2 - 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 UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=305195 ER -