Preface
M1. Algebra of vectors
M2. Vector functions
M3. Differential relations
M4. Coordinate transformations
M5. The method of covariant differentiation
M6. Integral operations
M7. Introduction to the concepts of nonlinear dynamics
1. The laws of atmospheric motion
2. Scale analysis
3. The material and the local description of flow
4. Atmospheric flow fields
5. The Navier-Stokes stress tensor
6. The Helmholtz theorem
7. Kinematics of two-dimensional flow
8. Natural coordinates
9. Boundary surfaces and boundary conditions
10. Circulation and vorticity theorems
11. Turbulent systems
12. An excursion into the spectral turbulence theory
13. The atmospheric boundary-layer
14. Wave motion in the atmosphere
15. The barotropic model
16. Rossby waves
17. Inertial and dynamic stability
18. The equation of motion in general coordinate systems
19. The geographical coordinate system
20. The stereographic coordinate system
21. Orography-following coordinate systems
22. The stereographic system with a generalised vertical coordinate
23. A quasi-geostrophic baroclinic model
24. A two-level prognostic model: baroclinic instability
25. An excursion into numerical procedures
26. Modeling of atmospheric flow by spectral techniques
27. Predictability
Answers to problems
List of commonly used symbols
References
Index.
