1. Mathematical Introduction
2. Review of Classical Mechanics
3. All Is Not Well with Classical Mechanics
4. The Postulates – a General Discussion
5. Simple Problems in One Dimension
6. The Classical Limit
7. The Harmonic Oscillator
8. The Path Integral Formulation of Quantum Theory
9. The Heisenberg Uncertainty Relations
10. Systems with ${\displaystyle N}$  Degrees of Freedom
11. Symmetries and Their Consequences
12. Rotational Invariance and Angular Momentum
13. The Hydrogen Atom
14. Spin
15. Addition of Angular Momenta
16. Variational and WKB Methods
17. Time-Independent Perturbation Theory
18. Time-Dependent Perturbation Theory
19. Scattering Theory
20. The Dirac Equation
21. Path Integrals – II
22. Appendix

Physics Bulletin said about the book, "No matter how gently one introduces students to the concept of Dirac’s bras and kets, many are turned off. Shankar attacks the problem head-on in the first chapter, and in a very informal style suggests that there is nothing to be frightened of".^[5] American Scientist called it "An excellent text … The postulates of quantum mechanics and the mathematical underpinnings are discussed in a clear, succinct manner".^[6]

• Modern Quantum Mechanics by J. J. Sakurai
• List of textbooks on classical and quantum mechanics