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portada Connection (Mathematics)
Type
Physical Book
Publisher
Language
English
Format
Paperback
ISBN13
9786130629021

Connection (Mathematics)

New Book Imported to Netherlands
Delivery: 05 Oct - 07 Oct Shipping: 14 to 15 business days.
€ 203,46
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€ 203,46

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Synopsis "Connection (Mathematics)"

In geometry, the notion of a connection makes precise the idea of transporting data along a curve or family of curves in a parallel and consistent manner. There are a variety of kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for transporting tangent vectors to a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields: the infinitesimal transport of a vector field in a given direction. Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data.

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