An advanced text introducing the graduate student to understand the mathematical foundations of the methods needed to do working applications in molecular quantum mechanics, a necessary preliminary step before using commercial programmes to carry out quantum chemistry calculations. <p> <p> <b>Proposed contents:</b> 1. Principles; 2. Matrices; 3. Atomic Orbitals; 4. The Variation Method; 5. Spin; 6. Antisymmetry of Many-Electron Wavefunctions; 7. SCF Calculations and Model Hamiltonians; 8. Post-Hartree-Fock Methods; 9. VB Theory and the Chemical Bond; 10. Elements of Rayleigh-Schroedinger (RS) Perturbation Theory; 11. Atomic and Molecular Interactions; 12. Symmetry; References, Author Index, Subject Index <p>