Statistical Physics of Complex Systems : A Concise Introduction Equilibrium Statistical Physics Non equilibrium Dynamics and Stochastic Formalism Statistical Physics of Interacting Macroscopic Units Beyond Assemblies of Stable Units Statistical Description of Chaotic Deterministic Systems A Probabilistic Viewpoint on Fluctuations and Rare Events. This course tested primer provides graduate students and non specialists with a basic understanding of the concepts and methods of statistical physics and demonstrates their wide range of applications to interdisciplinary topics in the field of complex system sciences including selected aspects of theoretical modeling in biology and the social sciences. Generally speaking the goals of statistical physics may be summarized as follows: on the one hand to study systems composed of a large number of interacting units and on the other to predict the macroscopic collective behavior of the system considered from the perspective of the microscopic laws governing the dynamics of the individual entities. These two goals are essentially also shared by what is now called complex systems science and as such systems studied in the framework of statistical physics may be considered to be among the simplest examples of complex systems – while also offering a rather well developed mathematical treatment. The second edition has been significantly revised and expanded featuring in particular three new chapters addressing non conserved particles evolutionary population dynamics networks properties of both individual and coupled simple dynamical systems and convergence theorems as well as short appendices that offer helpful hints on how to perform simple stochastic simulations in practice. Yet the original spirit of the book – to remain accessible to a broad non specialized readership – has been kept throughout: the format is a set of concise modular and self contained topical chapters avoiding technicalities and jargon as much as possible and complemented by a wealth of worked out examples so as to make this work useful as a self study text or as textbook for short courses. From the reviews of the first edition: “… a good introduction to basic concepts of statistical physics and complex systems for students and researchers with an interest in complex systems in other fields … .” Georg Hebermehl Zentralblatt MATH Vol. 1237 2012 “… this short text remains very refreshing for the mathematician.” Dimitri Petritis Mathematical Reviews Issue 2012k.