'The maturity of a scientific discipline can be measured by the degree of intellectual rigor and pedagogy contained in its textbooks. In 2006, Vallis' first edition of AOFD offered the atmospheric and oceanic sciences community a truly great book, marking a milestone in our discipline. Well, Vallis has done it again! This second edition of AOFD represents the pinnacle of a maturing discipline. It is The Great Book of the field, and it will remain so for a generation or longer. … This book will be well used by fluid dynamicists, oceanographers, atmospheric scientists, applied mathematicians, and physicists for decades to come. Each sentence, paragraph, section, chapter, and figure, are thoughtful and erudite, providing the reader with insights and rigor needed to truly capture the physical and mathematical essence of each topic.' Stephen M. Griffies, Geophysical Fluid Dynamics Laboratory and Princeton University, New Jersey