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Electromagnetism, Fluids and Waves
Introduction
Waves
1. Introduction
2. Mathematical Preliminaries
3. Harmonic and Oscillatory Motion
4. Longitudinal Waves
5. Solutions to the Wave Equation
6. Transverse Waves
7. Dispersion Relations and Wave Speed
8. Energy and Power of Travelling Waves
9. Polarisation of Waves
10. Standing Waves
11. Matter Waves
12. Doppler Shift
Electromagnetism
13. Introduction
14. Mathematical Preliminaries
15. Electrostatics
16. Solving Electrostatic Systems
17. Energy in an Electric Field
18. Magnetism
19. Magnetic Forces
20. Ampère’s Circuital Law
21. Faraday’s Law
22. Differential Forms and Maxwell’s Equations
23. Solutions to Maxwell’s Equations
24. Energy in an Electromagnetic field
Fluids
25. Introduction
26. Mathematical background
27. Visualising fluid motion
28. Divergence and vorticity
29. Conservation law derivations
30. Shear stress and viscosity
31. Scaling arguments
32. Steady solutions
33. The velocity potential
34. Bernoulli’s equation
35. Vortex transport
36. Perturbations and asymptotics
37. Unsteady: Water waves
38. Unsteady: Sound waves
39. Rotational reference frames
40. Geophysical phenomena
41. Solutions
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Index
