An Introduction to Tensors and Group Theory for Physicists
During my years of studying mathematical physics I spent much time trying to connect the rigorous but abstract mathematics found in pure math texts with the hands-on but fuzzy treatment of that same mathematics in physics texts. This book is the result of that process. The first edition came out in 2011, and the second in 2015.
(Note: for a fuller set of reviews on Amazon, see the 1st edition Amazon page linked below.)Amazon(2nd edition)     Springer Errata: 1st edition 2nd edition A rough set of solutions to selected exercises and problems is available upon request from firstname.lastname@example.org .