Pt. 1. Mathematical tools. Algebra of vectors
Vector functions
Differential relations
Coordinate transformations
The method of covariant differentiation
Integral operations
Introduction to the concept of nonlinear dynamics
pt. 2. Dynamics of the atmosphere. The laws of atmospheric motion
Scale analysis
The material and the local description of flow
Atmospheric flow fields
The Navier-Stokes stress tensor
The Helmholtz theorem
Kinematics of two-dimensional flow
Natural coordinates
Boundary surfaces and boundary conditions
Circulation and vorticity theorems
Turbulent systems
An excursion into spectral turbulence theory
The atmospheric boundary layer
Wave motion in the atmosphere
The barotropic model
Rossby waves
Inertial and dynamic stability
The equation of motion in general coordinate systems
The geographical coordinate system
The stereographic coordinate system
Orography-following coordinate systems
The stereographic system with a generalized vertical coordinate
A quasi-geostrophic baroclinic model
A two-level prognostic model, baroclinic instability
An excursion concerning numerical procedures
Modeling of atmospheric flow by spectral techniques
Predictability.