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REVIEWED BY W. R. DEAN 1 THIS BOOK gives an introduction to the hydrodynamics of inviscid fluids and is, after the preliminary chapters, mainly concentrated on two-dimensional motions. There is a full treatment of the general two-dimensional motion of an immersed cylinder with particular reference to the flow past a thin airfoil and past an infinite array of airfoils, and a full treatment of discontinuous motions and free surface flows. The analysis that is usually given of the stability of two-dimensional vortex systems is here significantly extended by some work with equations accurate to the second order of the arbitrary displacements, and interesting conclusions are drawn from this extension; this important section is based on work attributed to A. M. Liapunov.