This two volume text provides a detailed comprehensive discourse on the analytics of strapdown inertial navigation systems (INS's), the basic technology used on modern day commercial and military aircraft, guided missiles, surface ships and underwater vehicles. Based on his first-hand experience in this field, the author has provided a unique service to the aerospace industry in preparing this technical dissertation on the algorithms implemented in the strapdown system computer, and the analytics (and software) associated with system software validation, system test, simulation, performance analysis, and the analytical design methodology used in deriving the strapdown equations. Included is an in-depth chapter dealing with Kalman filter theory and its application to the aiding of a strapdown INS. Strapdown Analytics has been prepared for the reader who may not have had experience in navigation or Kalman filtering. The book is complicated, yet complete and understandable by analytically inclined college graduate students or practicing engineers. The book can be viewed as the text for an advanced course one might take following the introductory course taught by the author, Introduction To Strapdown Inertial Navigation Systems. (See www.strapdownassociates.com website for course details).