G.K.Batchelor was regarded as the leading figure in fluid mechanics from 1950 ~ 2000. He was a founder of AMTP(Applied mathmatics and theoretical physics) group in Cambridge Univ. and also a founder of 'Jounal of Fluid Mechanics', a leading and top class journal in the field of fluid mechanics. Also was a favorite student of G.I.Taylor.
I think this volume is a bridge between the old classic(ex. H. Lamb's Hydrodynamics) and today's many texts for fluid mechanics somewhat biased to applications and computations.
It deals with all branches of fluid mechanics except Gas dynamics, free convection, lubrication theory, magnetohydrodynamics and hydrodynamics stability. The first three chapters summarise basic concepts in thermo & fluid mechanics and trasport phenomena. I think chapter 1,2,3 are very severe and deep. And there are collections of important photos of fluid phenomena.(You can also refer M. Van Dyke's 'An album of fluid motion)
Although the title is 'An introduction to...' it's not an introductory level, and the mathematics it deals are somewhat omitted. I think this text is an advance graduate level.