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Ricci-Calculus: An Introduction to Tensor Analysis and its Geometrical Applications (Grundlehren der mathematischen Wissenschaften) [Hardcover]

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Item description for Ricci-Calculus: An Introduction to Tensor Analysis and its Geometrical Applications (Grundlehren der mathematischen Wissenschaften) by Jan Arnoldus Schouten...

Ricci-Calculus: An Introduction to Tensor Analysis and its Geometrical Applications (Grundlehren der mathematischen Wissenschaften) by Jan Arnoldus Schouten

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Item Specifications...


Pages   540
Est. Packaging Dimensions:   Length: 9.3" Width: 6.4" Height: 1.5"
Weight:   1.9 lbs.
Binding  Hardcover
Release Date   Jan 1, 1954
Publisher   Springer
ISBN  3540018050  
ISBN13  9783540018056  


Availability  0 units.


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Product Categories

1Books > Subjects > Professional & Technical > Professional Science > Mathematics > Geometry & Topology > Analytic Geometry
2Books > Subjects > Science > Mathematics > General
3Books > Subjects > Science > Mathematics > Geometry & Topology > Analytic Geometry



Reviews - What do customers think about Ricci-Calculus: An Introduction to Tensor Analysis and its Geometrical Applications (Grundlehren der mathematischen Wissenschaften)?

Review of "Ricci Calculus"  Jul 31, 2008
"Ricci Calculus" is the defacto standard reference for tensor transformation theory. Schouten (pronounced "Scoutin") introduces fundamental geometric quantities based on the co-and contravariant transformation rules and then systematically builds up a manifold based on invariance of these quantities. The various geometric manifolds are constructed in a systematic way, starting from rectilinear coordinates and then by introduction of the "metric," connection, curvature tensors, and so forth. The book initially appears terse but once you get the hang of it and really stick with it, the power of the notation emerges and the notation also functions as an efficient book-keeping device when doing transformation theory calculations. Often, the meaning of certain calculations are even clarified when following Schouten's approach. Although specific applications are not really discussed in this work, the book is a must-have reference for those applying tensor transformation theory in general relativity, gauge fields, continuum theory, and complex manifolds.
 

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