This is a book about applied mathematics and the physics that underpin the creation of aerospace simulations. It is a textbook. It is the first volume of a two-volume set, which aim to provide a working manual for students and practitioners that is focused on relevant theory and its translation into computational algorithms. Volume 1 deals with the geometry and geophysics that defines the operational environment for flight around the Earth. This defines the synthetic environment and the viewpoint from a mobile platform. Volume 2 will deal with flying vehicles and their embedded systems, with a strong emphasis on equations of motion, force generation and energy transfer. It will conclude with an integrated approach to dynamic simulation.
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