Out of Equilibrium Physics of Correlated Electron Systems Master equation versus Keldysh Greens functions for correlated quantum systems out of equilibrium Towards an understanding of superconductors and correlated materials out of equilibrium: mean field approaches Electronic structure of correlated materials out of equilibrium: non equilibrium dynamical mean field theory Ultrafast optical control of complex quantum materials This book is a wide ranging survey of the physics of out of equilibrium systems of correlated electrons ranging from the theoretical to the numerical computational and experimental aspects. It starts from basic approaches to non equilibrium physics such as the mean field approach then proceeds to more advanced methods such as dynamical mean field theory and master equation approaches. Lastly it offers a comprehensive overview of the latest advances in experimental investigations of complex quantum materials by means of ultrafast spectroscopy