Robotics Primer
Robot Arm Kinematics Primer — Forward Kinematics, Inverse Kinematics, and the Jacobian
Forward kinematics finds the hand's position and orientation from the joint angles; inverse kinematics solves the reverse problem; and the Jacobian bridges the two through "velocity." From building coordinate transforms with DH parameters, through analytic IK, numerical IK (Damped Least Squares), singularities, and redundant degrees of freedom — a ground-up, systematic account of the kinematics that governs how a robot arm moves.