Fluid mechanics is the science that studies the motions and forces acting on fluids such as gases and liquids. These motions are ubiquitous in the world around us, ranging in scale from the movements of single-celled microorganisms such as paramecia to large-scale motions of the oceans or atmosphere. Of particular interest is the calculation of the forces on the boundaries adjoining the fluid. This book is the most comprehensive introductory graduate or advanced undergraduate text in fluid mechanics available. It builds up from the fundamentals, often in a very general way, to widespread applications to technology and geophysics.