Preface 1 Introduction 1.1 Bose-Einstein condensation in atomic clouds 1.2 Superfluid 4 He 1.3 Other condensates 1.4 Overviwe 2 The non-interacting Bose gas 2.1 The Bose distribution 2.2 Transition temperature and condensate fraction 2.3 Density profile and velcity distribution 2.4 Thermodynamic quantities 2.5 Effect of finite particle number 2.6 Lower-dinmensional systems 3 Atomic properties 3.1 Atomic structure 3.2 The Zeeman effect 3.3 Response to an electric field 3.4 Energy scales 4 Trapping and cooling of atoms 4.1 Magnetic traps 4.2 Influence of laser light on an atom 4.3 Laser cooling:the Doppler process 4.4 The magneto-optical trap 4.5 Sisyphus cooling 4.6 Evaporative cooling 4.7 Spin-polarized hydrogen 5 Interactions between atoms 5.1 Interatomic potentials and the van der Waals interaction 5.2 Basic scattering theory …… 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 and conversion factors Index