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.
Author(s): Morton E. Gurtin (Eds.)
Series: Mathematics in Science and Engineering 158
Publisher: Academic Press
Year: 1981
Language: English
Pages: iii-xi, 1-265
Content:
Edited by
Page iii
Copyright page
Page iv
Preface
Page ix
Acknowledgments
Page xi
Chapter I Tensor Algebra
Pages 1-17
Chapter II Tensor Analysis
Pages 19-40
Chapter III Kinematics
Pages 41-85
Chapter IV Mass. Momentum
Pages 87-95
Chapter V Force
Pages 97-113
Chapter VI Constitutive Assumptions. Inviscid Fluids
Pages 115-137
Chapter VII Change in Observer. Invariance of Material Response
Pages 139-145
Chapter VIII Newtonian Fluids. The Navier-Stokes Equations
Pages 147-164
Chapter IX Finite Elasticity
Pages 165-198
Chapter X Linear Elasticity
Pages 199-226
Appendix
Pages 227-238
38. General Scheme of Notation
Pages 239-241
References
Pages 243-245
Hints for Selected Exercises
Pages 247-260
Index
Pages 261-265