Rational Kinematics

Focusing on invariants in kinematics, this study emphasizes quantities that remain unchanged with different observers. It introduces tensor analysis and multilinear algebra, while providing a brief overview of notation and definitions. The kinematics of rigid bodies is explored in detail, highlighting its significance as it describes local motions of continua and connects to classical dynamics, which examines the movements of particles and rigid bodies. This rational approach aims to deepen understanding of fundamental concepts in mechanics.