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This introductory monograph, by an internationally respected plasma transport theoretician, presents the collective drift and MHD-type modes in inhomogeneous plasmas from the point of view of two-fluid and kinetic theory. The emphasis is on the description of the plasma rather than on the geometry so as to present a more general approach to a large class of plasma problems. Starting with generalised fluid equations for low frequency phenomena, the author shows how drift waves and MHD-type modes can arise from the effects of inhomogeneities in the plasma. The kinetic description is then presented to reveal a host of phenomena ranging from vortex modes and finite Larmor radius effects to trapped and fast particle instabilities, transport, diffusion and other advanced fluid effects.