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1. Introduction 2. The non-interacting Bose gas 3. Atomic properties 4. Trapping and cooling of atoms 5. Interactions between atoms 6. Theory of the condensed state 7. Dynamics of the condensate 8. Microscopic theory of the Bose gas 9. Rotating condensates 10. Superfluidity 11. Trapped clouds at non-zero temperature 12. Mixtures and spinor condensates 13. Interference and correlations 14. Fermions Appendix. Fundamental constants Index.