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libcats.org
An Introduction to Continuum Mechanics (Mathematics in Science and Engineering)Morton E. GurtinI 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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