Mechanics: Introduction

This lecture introduces the fundamental concepts of mechanics, covering topics such as the structure, chapters, history, objectives, limits, and experiments in the field. It explores key mathematical tools like vector calculus, derivatives, and integrals, as well as scalar and vector products. The historical evolution of mechanics from Aristotle and Galileo to Kepler and Newton is discussed, highlighting the transition from non-scientific methodologies to scientific experimentation. The lecture also delves into the objectives of studying mechanics, emphasizing the conceptual modeling of physical phenomena, mathematical transcription, and problem-solving skills. The limitations of classical mechanics, the theory of chaos, and the importance of theory-experiment interplay are explored through historical and modern perspectives.