Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction -- Dynamics and Thermodynamics of Systems with Long-Range Interactions: An Introduction -- Statistical Mechanics -- Thermo-statistics or Topology of the Microcanonical Entropy Surface -- Ensemble Inequivalence in Mean-Field Models of Magnetism -- Phase Transitions in Finite Systems -- Phase Transitions in Systems with 1/r ? Attractive Interactions -- Nonextensivity: From Low-Dimensional Maps to Hamiltonian Systems -- Astrophysics -- Statistical Mechanics of Gravitating Systems in Static and Cosmological Backgrounds -- Statistical Mechanics of Two-Dimensional Vortices and Stellar Systems -- Bose-Einstein Condensation -- Coherence and Superfluidity of Gaseous Bose-Einstein Condensates -- Ultracold Atoms and Bose-Einstein Condensates in Optical Lattices -- Canonical Statistics of Occupation Numbers for Ideal and Weakly Interacting Bose-Einstein Condensates -- New Regimes in Cold Gases via Laser-Induced Long-Range Interactions -- Nonlinear Dynamics -- Dynamics and Self-consistent Chaos in a Mean Field Hamiltonian Model -- Kinetic Theory for Plasmas and Wave-Particle Hamiltonian Dynamics -- Emergence of Fractal Clusters in Sequential Adsorption Processes -- The Hamiltonian Mean Field Model: From Dynamics to Statistical Mechanics and Back.