The application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would needed for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analysis of data are discussed as well. The book is divided in two parts focusing first on the modelling of statistical systems then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge