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This book considers the main hydrodynamic aspects of the dynamics of bubbles, drops and rigid particles with a special emphasis on the deformations and hydrodynamic interactions between fluid particles in uniform or shear flows and hydrodynamic interactions between rigid spherical particles in an oscillatory flow. There is no other published book to date which reveals these topics in the described manner. Readers should have a basic understanding of introductory fluid mechanics, real analysis and numerical methods. The book provides the basis for quantitative description of the phenomena that occur in the dynamics of bubbles, drops and rigid particles. The book is intended to serve both as a graduate textbook for students in chemical engineering, physics and applied mathematics, and as a reference monograph for academic and industrial researchers.