My one year at graduate school at University of Texas @ Austin, I took a Quantum Mechanics class from Doctor Arno Bohm. His course was taught with HIS book. Although I made virtually no effort in the class, thus I didn't learn ANYTHING, looking @ the book both to study for tests/answer hw questions was VERY useful. I am actually trying to read it now. I think it's a very "from the ground up" explanation of Quantum Mechanics. It requires the notion of spaces, algebras, and linear operators (to be concise, we further limit to "Hermitian" operators), so the Math is ALL there...and is presented in the FIRST chapter...for reference.
So I think...the name of the book is "Quantum Mechanics"
But if you "Amazon" Arno Bohm, you will find the book I'm talking about...
...yep, the name is "Quantum Mechanics", I think it's a great book.