I have studied Calc 3 and the basics of Vector Calculus using Stewart's text Calculus: Early Transcendentals. I have also studied Vector Calculus by Marsden and Tromba, but didn't pay much attention on differential forms. Currently, I am studying Introduction to Linear Algebra by Serge Lang.
I am looking for a book on tensor analysis and tensor calculus. My main focus right now is the mathematical aspect and the applications of tensors in physics. A Student's Guide to Vectors and Tensors by Fleisch felt quite good as an explanatory book, but IMO, it was mathematically lacking. I don't wanna focus more on differential geometry right now. Though many books do add some topics and I don't mind that.
What do you recommend as a good book for me? Thanks in advance.