Preface; 1. Introduction; 2. The basic equations; 3. The constitutive relations; 4. Propagation in a homogenous isotropic medium; 5. Propagation in a homogenous anisotropic medium. Magentoionic theory; 6. Properties of the Appleton-Hartree formula; 7. Definition of the reflection and transmission coefficients; 8. Reflection at a sharp boundary; 9. Slowly varying medium. The W.K.B solutions; 10. Ray theory for vertical incidence when the Earth's magnetic field is neglected; 11. Ray theory for oblique incidence when the Earth's magnetic field is neglected; 12. Ray theory for vertical incidence when the Earth's magnetic field is included; 13. Ray theroy for oblique incidence when the Earth's magnetic field is included; 14. The general problem of ray tracing; 15. The airy integral function and the Stokes phenomenon; 16. Linear gradient of electron density; 17. Various electron density profiles when the Earth's magnetic field is neglected; 18. Anisotropic media. Coupled wave-equations and W.K.B solution; 19. Application of coupled wave-equations; 20. The phase integral method; 21. Full wave solutions when the Earth's magnetic field is included; 22. Numerical methods for finding reflection coefficients; 23. Reciprocity.