Coordinate Frames and Transformations -- Coordinate Frames -- Inertial Frame -- Earth-Centered-Earth-Fixed Frame -- Navigation Frame -- Transformations -- Direction Cosines -- Euler Angles -- Quaternions -- Axial Vectors -- Angular Rates -- Differential Equation of the Transformation -- Specific Coordinate Transformations -- Fourier Transforms -- Ordinary Differential Equations -- Linear Differential Equations -- General Solution of Linear Differential Equations -- Homogeneous Solution -- An Example -- Fundamental Set of Solutions -- Particular Solution -- The Example, Continued -- Numerical Methods -- Runge-Kutta Methods -- Numerical Integration of Functions -- Inertial Measurement Units -- Gyroscopes -- Mechanical Gyroscopes -- SDF Gyro -- Principal Error Terms -- TDF Gyro -- Optical Gyroscopes -- Ring Laser Gyro -- RLG Error Sources -- Fiber-Optic Gyro -- FOG Error Sources -- Accelerometer -- Accelerations in Non-Intertial Frames -- Force-Rebalance Dynamics -- Pendulous Accelerometer Examples -- Vibrating Element Dynamics -- Error Sources -- Intertial Navigation System -- Mechanizations -- Space-Stabilized Mechanization -- Local-Level Mechanization -- Schuler Tuning -- Wander Azimuth Mechanization -- Strapdown Mechanization -- Numerical Determination of the Transformation Matrix -- A Second-Order Algorithm -- A Third-Order Algorithm -- Specializations -- Navigation Equations -- Unified Approach -- Navigation Equations in i-Frame -- Navigation Equations in e-Frame -- Navigation Equations in n-Frame.