"Applied Mathematics in Integrated Navigation Systems combines an on-board navigation solution (position, velocity, and attitude), and independent navigation data (aids-to-navigation). The first part of the book covers the basic elements of mathematics, kinematics, equations describing navigation systems/sensors and their error models, aids-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. This textbook is intended for upper-level undergraduates, graduate students, and working professionals in the area of design, integration, and testing/evaluation of navigation systems. Chapter exercises, appendices, and summaries supplement the text.