Turbulence: The Legacy of A. N. KolmogorovWritten five centuries after the first studies of Leonardo da Vinci and half a century after A. N. Kolmogorov's first attempt to predict the properties of flow, this textbook presents a modern account of turbulence, one of the greatest challenges in physics. Fully developed turbulence is ubiquitous in both cosmic and natural environments, in engineering applications and in everyday life. Elementary presentations of dynamical systems ideas,