Section outline

    • Kinematics, as the geometric study of moving rigid bodies in space, and mechanics, where, in addition, the physical laws are relevant, both need an appropriate mathematical/geometric model as a foundation. The model helps to reduce questions to mathematical tasks, and the selection of a model has an influence as to how difficult this task is.
      • Starter: ballistics. How to throw a ball as far as possible.
      • Balancing problems. We study problems of finding equilibria in rigid body dynamics. Many of these problems lead to systems of polynomial equations.
      • Quantum entanglement. Using a simplified model of quantum mechanical model (qubits), we discuss the role of probabilities in quantum mechanics.