Contents:

Part I Interacting electrons: beyond the independent-particle picture
Ch 1 The many-electron problem: introduction
Ch 2 Signatures of electron correlation
Ch 3 Concepts and models for interacting electrons
Part II Foundations of theory for many-body systems
Ch 4 Mean fields and auxiliary systems
Ch 5 Correlation functions
Ch 6 Many-body wavefunctions
Ch 7 Particles and quasi-particles
Ch 8 Functionals in many-particles physics
Part III Many-body Greens’ function methods
Ch 9 Many-body perturbation theory: expansion in the interaction
Ch10 Many-body perturbation theory via functional derivatives
Ch11 The RPA and the GW approximation for the self-energy
Ch12 GWA calculations in partice
Ch13 GWA calculations: illustrative results
Ch14 RPA and beyond: the Bethe-Salpeter equation
Ch15 Beyond the GW approximation
Ch16 Dynamical mean-field theory
Ch17 Beyond the single-site approximation in DMFT
Ch18 Solvers for embedded systems
Ch19 Characteristic hamiltonians for solids with d and f states
Ch20 Examples of calculations for solids with d and f states
Ch21 Combining Green’s functions approaches: an outlooik
Part IV Stochastic methods
Ch22 Introduction to stochastic methods
Ch23 Variational Monte Carlo
Ch24 Projector quantum Monte Carlo
Ch25 Path-integral Monte Carlo
Ch26 Concluding remarks
Part V Appendixs