Mathematics Applied to Continuum Mechanics (Classics in Applied Mathematics)
Lee A. Segel with additional material on elasticity by G. H. Handelman
This is my favorite text for continuum mechanics.
It contains derivations not usually covered, and spends a lot of time educating the reader on the tensor notation.
As a plus, it contains a supplement on functional analysis applications, which I still consult above some other texts on the subject.
I have almost no complaints about this text. I cannot suggest it enough.
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