An Introduction to Continuum Mechanics (Mathematics in Science and Engineering)
Morton E. Gurtin
I am of the school that there is no "best" book on any subject matter. Rather, the serious student should look for a spanning set of texts.
Defining "best" requires a point of reference and it it clear that a beginner is looking for something different than a researcher.
In any case, let me say that if you have taken a beginning course in continuum mechanics, this is an excellent second book.
To give this book to a novice and expect them to learn the subject would be like giving Foundations of Mechanics by Marsden to someone and say "go learn classical mechanics".
Of all the classics, I think it is best to start with Malvern. It is a good place to absorb the basics and learn index notation. It is the first book I would recommend.
Next, progress to Gurtin. The elegance and utility of direct tensor notation will then become clear. Also be aware that Gurtin is a mathematician and approaches the material from the perspective of elegance as
opposed to physical insight.
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