This document compiles the lecture notes from a course titled "Gravitation: From Newton to Einstein," delivered by Pierre Fleury at the African Institute for Mathematical Sciences (AIMS) in Cameroon in January 2018 and 2019. The course aimed to provide a comprehensive overview of gravitation, connecting Newton's theory of gravity with Einstein's theory of relativity. It is designed for students familiar with Newtonian mechanics and gravity, covering topics such as kinematics, dynamics, Lagrangian mechanics, and the general-relativistic world. The course also explores concrete manifestations of relativistic gravitation, including gravitational waves and black holes. The author acknowledges the contributions of mentors, tutors, and fellow lecturers, and reflects on the influence of various references and personal approaches to relativity and gravitation. The content is structured into chapters on Newton's physics, dynamics, Lagrangian mechanics, and gravitation, with exercises to reinforce understanding.This document compiles the lecture notes from a course titled "Gravitation: From Newton to Einstein," delivered by Pierre Fleury at the African Institute for Mathematical Sciences (AIMS) in Cameroon in January 2018 and 2019. The course aimed to provide a comprehensive overview of gravitation, connecting Newton's theory of gravity with Einstein's theory of relativity. It is designed for students familiar with Newtonian mechanics and gravity, covering topics such as kinematics, dynamics, Lagrangian mechanics, and the general-relativistic world. The course also explores concrete manifestations of relativistic gravitation, including gravitational waves and black holes. The author acknowledges the contributions of mentors, tutors, and fellow lecturers, and reflects on the influence of various references and personal approaches to relativity and gravitation. The content is structured into chapters on Newton's physics, dynamics, Lagrangian mechanics, and gravitation, with exercises to reinforce understanding.