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Student Solution Manual for Mathematical Methods for Physics and Engineering, Third Edition by M. P. Hobson, K. F. Riley

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26

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Tensors

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26.1  Use the basic definition of a Cartesian tensor to show the following.

(a)  That for any general, but fixed, ϕ,

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are the components of a first-order tensor in two dimensions.

(b)  That

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is not a tensor of order 2. To establish that a single element does not transform correctly is sufficient.

Consider a rotation of the (unprimed) coordinate ...

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