part 1 Part I: Fundamentals -- chapter 1 FORTRAN Essentials -- chapter 2 Basics of Classical Dynamics -- chapter 3 Basics of Stochastic Computations -- chapter 4 Vector Spaces, Groups, and Algebras -- chapter 5 Matrix Quantum Mechanics -- chapter 6 Time Evolution in Quantum Mechanics -- chapter 7 The Path Integral in Euclidean Spaces -- part 2 Part II: Atomic Clusters -- chapter 8 Characterization of the Potential of Ar7 -- chapter 9 Classical and Quantum Simulations of Ar7 -- part 3 Part III: Methods in Curved Spaces -- chapter 10 Introduction to Differential Geometry -- chapter 11 Simulations in Curved Manifolds -- part 4 Part IV: Applications to Molecular Systems -- chapter 12 Clusters of Rigid Tops.