Strong and ongoing interactions between researchers in mathematics and engineering are vital to the progress of both disciplines and essential to the development of innovative aerospace technologies. This compilation of invited papers presents the state-of-the-art and current research trends in the application of mathematics to aerospace science and engineering. Internationally renowned experts provide broad coverage of advanced topics, thoroughly discussing the fundamental aspects of analytical and numerical methods occurring in flight mechanics, astrodynamics, guidance, control, aircraft design, fluid mechanics, rarefied gas dynamics, and solid mechanics. Chapters include new studies on control of uncertain systems, computational fluid dynamics, optimal trajectories for aeroassisted orbital transfer, numerical methods for aircraft design, singular perturbation methods in flight mechanics, and perturbation methods in fluid mechanics. The latest collection of authoritative research on the field, Applied Mathematics in Aerospace Science and Engineering will be an important reference for aerospace researchers, engineers, and designers.