Recent advances in our understanding of instabilities in galactic type systems have led to an unravelling of some of the mysteries of what determines the form galaxies take. This book focuses on the mathematical development of the subject, assuming no prior knowledge of it, with a strong emphasis on the underlying physical interpretation. This framework is used to discuss the most relevant instabilities which are believed to be closely involved in the way galaxies are formed, in a model independent manner. The relevant observed properties of galaxies that may be used to establish the...