Applied Mathematics In Integrated Navigation Systems presents mathematical methods for combining an on-board navigation solution (position, velocity, and attitude), and independent navigation data (aides-to-navigation) to form an integrated navigation system. The first part of the book covers the basic elements of mathematics, kinematics, equations describing navigation systems/sensors and their error models, aides to navigation, and Kalman filtering. Detailed derivations are presented and examples are given. The second part of the book presents case studies that apply the elements to real-world projects.