Clarity in exposition of fundamentalsConceptual links with broader areas of geophysical fluid dynamicsCareful discussion of mathematical derivations as well as physical interpretationsIncludes supplementary material: sn.pub/extras

Introduction.- Kinematic Generalization.- Equations of Motion.- Fields of Motion in Gravity Waves and the Energy.- The Initial Value Problem.- Discussion of Initial Value Problem.- Internal Gravity Waves.-Internal Waves, Group Velocity and Reflection.- WKB Theory for Internal Gravity Waves.- Vertical Propagation of Waves: Steady Flow and the Radiation Condition.- Rotation and Potential Vorticity.- Large Scale Hydrostatic Motions.- Shallow Water Waves in a Rotating Fluid, Poincare and Kelvin Waves.- Rossby Waves.- Rossby Waves, Quasi-Geostrophy.- Energy and Energy Flux in Rossby Waves.- Laplace Tidal Equations and the Vertical Structure Equation.- Equatorial ß - Plane and Equatorial Waves.- Stratified Quasi-Geostrophic Motion and Instability Waves.- Energy Equation and Necessary Conditions for Instability.- Wave - Mean Flow Interaction.- Problem Set 1-12.