Introduction.- Mathematical Fundamentals.- The Mathematical Model for Hypersonic Entry Glide Vehicle.- Mathematical description of optimal control problem for entry gliding.- Indirect approch to the optimal glide trajectory problem.- Direct Method for Gliding Trajectory Optimization Problem.- The Concept of Steady Glide Reentry Trajectory and the Stability of its Regular Perturbation Solutions.- Analytical Solutions of Steady Glide Reentry Trajectory in Three Dimensions and their Application to Trajectory Planning.- Trajectory Damping Control Technique for Hypersonic Glide Reentry.- Steady Glide Dynamic Modeling and Trajectory Optimization for High Lift-to-Drag Ratio Reentry Vehicle.- Singular Perturbation Guidance of Hypersonic Glide Reentry.- 3-D Reentry Guidance with Real-Time Planning of Reference with New Analytical Solutions Based on Spectral Decomposition Method.- Omnidirectional Autonomous Reentry Guidance Based on 3-D Analytical glide Formulas with the Consideration of the effects of the Earth's rotation.- Analytical Entry Guidance based on Steady Glide.- Linear Pseudospectral General Nominal Effort Miss Distance Guidance Method.- Linear Pseudospectral Adaptive Flight Phase Segmentation General Nominal Effort Miss Distance Reentry Guidance.- Trajectory-Shaping Guidance with Final Speed and Load Factor Constraints.