Andere Kunden interessierten sich auch für
![Dynamics on Lorentz Manifolds]( "Dynamics on Lorentz Manifolds")
Dynamics on Lorentz Manifolds87,99 €![Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics]( "Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics")
Fourier-Mukai and Nahm Transforms in Geometry and Mathematical Physics132,99 €![Iterated Integrals and Cycles on Algebraic Manifolds]( "Iterated Integrals and Cycles on Algebraic Manifolds")
Iterated Integrals and Cycles on Algebraic Manifolds93,99 €![Quaternionic Structures in Mathematics and Physics - Proceedings of the Second Meeting]( "Quaternionic Structures in Mathematics and Physics - Proceedings of the Second Meeting")
Quaternionic Structures in Mathematics and Physics - Proceedings of the Second Meeting287,99 €![Riemannian Submersions and Related Topics]( "Riemannian Submersions and Related Topics")
Riemannian Submersions and Related Topics144,99 €![Lectures on the Geometry of Manifolds]( "Lectures on the Geometry of Manifolds")
Lectures on the Geometry of Manifolds101,99 €![Galois Connections and Applications]( "Galois Connections and Applications")
Galois Connections and Applications122,99 €
The theory of connections is central not only in pure mathematics (differential and algebraic geometry), but also in mathematical and theoretical physics (general relativity, gauge fields, mechanics of continuum media). The now-standard approach to this subject was proposed by Ch. Ehresmann 60 years ago, attracting first mathematicians and later physicists by its transparent geometrical simplicity. Unfortunately, it does not extend well to a number of recently emerged situations of significant importance (singularities, supermanifolds, infinite jets and secondary calculus, etc.). Moreover, it does not help in understanding the structure of calculus naturally related with a connection.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.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.
Hinweis: Dieser Artikel kann nur an eine deutsche Lieferadresse ausgeliefert werden.