I'm a mathematics undergraduate student and I think of studying QM this summer. I've found two online courses given by professor Fredric Schuller QM (link). I look for a good text that I can use to accompany those lectures. I prefer those lectures since they are rigorous unlike most courses I've found on Youtube that are not rigorous enough for my tastes.
Which texts do you recommend? What about Principles of Quantum Mechanics by Shankar? does it go along with the QM course? if not, any other recommendations?
I've suggested the two books since when I skimmed through them, they seemed to be more rigorous than many other texts I skimmed through. Note also that It will be my first course to QM and GR.
Here are the titles of lectures of QM course (every lecture is about 110 minutes):
Axioms of Quantum Mechanics
Banach Spaces
Separable Hilbert spaces
Projectors,bars and kets
Measure Theory
Integration of measurable functions
Self adjoint and essentially self-adjoint operators
Spectra and perturbation theory
Case study: momentum operator
Inverse Spectral Theorem
Spectral Theorem
Stone's theorem & construction of observables
Spin
Composite systems
Total spin of composite system -
Quantum Harmonic Oscillator I
Quantum Harmonic Oscillator II
The Fourier Operator
The Schrodinger Operator
Periodic potentials I
Periodic potentials II
