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Tensor analysis with applications in mechanics
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eBook
Tensor analysis with applications in mechanics
2010
Overview
The tensorial nature of a quantity permits us to formulate transformation rules for its components under a change of basis. These rules are relatively simple and easily grasped by any engineering student familiar with matrix operators in linear algebra. More complex problems arise when one considers the tensor fields that describe continuum bodies. In this case general curvilinear coordinates become necessary. The principal basis of a curvilinear system is constructed as a set of vectors tangent to the coordinate lines. Another basis, called the dual basis, is also constructed in a special manner. The existence of these two bases is responsible for the mysterious covariant and contravariant terminology encountered in tensor discussions.
Publisher
World Scientific Publishing Co. Pte. Ltd,World Scientific,World Scientific Publishing Company,WORLD SCIENTIFIC,World Scientific Publishing,World Scientific Pub. Co
Subject
ISBN
9789814313124, 9814313122, 9814313998, 9789814313995, 9789813203648, 9813203641
