This book is exceptional in providing an up-to-date, but compact, introduction to the field of hydrodynamics and fluid dynamics that is both sufficiently comprehensive and easy to read. It covers all the elements of compressible and incompressible fluid dynamics, from the basic concepts through to the constituent equations and their applications. Fluid flows in different environments are thoroughly discussed, and specific aspects such as dissipation, turbulence, shock waves, and blast waves receive detailed attention. The book contains many exercises and draws attention to numerical solutions to specific problems. The book is ideal for undergraduate and graduate students and young researchers in physics, astrophysics, mathematics (pure and applied), and engineering. As this book is intended for a wide audience, the mathematical prerequisites are kept to a low level.