chapter 1. electromagnetism .
         1-1 electrical forces 1-1
         1-2 electric and magnetic felds 1-3
         1-3 characteristics of vector fields 1-4
         1-4 the laws of electromagnetism i-5
         i-5 what are the fields? 1-9
         1-6 electromagnetism in science and technology 1-10
         chapter 2. differential calculus of vector fields
         2-1 understanding physics 2-1
         2-2 scalar and vector fields—t and h 2-2
         2-3 derivatives of fields—the gradient 2-4
         2-4 the operator v 2-6
         2-5 operations with v 2-7
         2-6 the differential equation of heat flow 2-8
         2-7 second derivatives of vector fields 2-9
         2-8 pitfalls 2-11
         chapter 3. vector integral calculus
         3-1 vector integrals; the line integral of v,it 3-1
         3-2 the flux of a vector field 3-2
         3-3 the flux from a cube; gauss' theorem 3-4
         .3-4 heat conduction; the diffusion equation 3-6
         3-5 the circulation of a vector field 3-8
         3-6 the circulation around a square;
         stokes' theorem 3-9
         3-7 curl-free and divergence-free fields 3-10
         3-8 summary 3-11
         chapter 4. electrostatics
         4-1 statics 4—1
         4-2 coulomb's law; superposition 4-2
         4-3 electric potential 4-4
         4-4 e=- φ 4-6
         4-5 the flux of e 4-7
         4-6 gauss' law; divergence of e 4-9
         4-7 field of a sphere of charge 4-10
         4-8 field lines; equipotential surfaces 4-1l
         chapter 5. application of gauss' law
         5-1 electrostatics is gauss's law plus . . . 5-1
         5-2 equilibrium in an electrostatic field 5-1
         5-3 equilibrium with conductors 5-2
         5-4 stability of atoms 5-3
         5-5 the field of a line charge 5-3
         5-6 a sheet of charge; two sheets 5-4
         5-7 a sphere of charge; a spherical shell 5-4
         5-8 is the field of a point charge exactly 1/r2? 5-5
         5-9 the fields of a conductor 5-7
         5-10 the field in a cavity of a conductor 5-8
         chapter 6. the electric field in various
         circumstances
         6-1 equations of the electrostatic potential 6-1
         6-2 the electric dipole 6-2
         6-3 remarks on vector equations 6-4
         6-4 the dipole potential as a gradient 6-4
         6-5 the dipole approximation for an arbitrary
         distribution 6-6
         6-6 the fields of charged conductors 6-8
         6-7 the method of images 6-8
         6-8 a point charge near a conducting plane 6-9
         6-9 a point charge near a conducting sphere 6-10
         6-10 condensers; parallel plates 6-11
         6-11 high-voltage breakdown 6-13
         6-12 the field-emission microscope 6-14
         chapter 7. the electric field in various
         circumstances (continued)
         7-1 methods for finding the electrostatic field 7-1
         7-2 two-dimensional fields; functions of the complex
         variable 7-2
         7-3 plasma oscillations 7-5
         7—4 colloidal particles in an electrolyte 7-8
         7-5 the electrostatic field of a grid 7-10
         chapter 8. electrostatic energy
         8-1 the electrostatic energy of charges. a uniform
         sphere 8-t
         8-2 the energy of a condenser. forces on charged
         conductors 8-2
         8-3 the electrostatic energy of an ionic crystal 8-4
         8-4 electrostatic energy in nuclei 8-6
         8-5 energy in the electrostatic field 8-9
         8-6 the energy of a point charge 8-12
         chapter 9. electricity in the atmosphere
         9-1 the electric potential gradient of the
         atmosphere 9-1
         9-2 electric currents in the atmosphere 9-2
         9-3 origin of the atmospheric currents 9-4
         9-4 thunderstorms 9-5
         9-5 the mechanism of charge separation 9-7
         9-6 lightning 9-10
         chapter 10. dielectrics
         10-1 the dielectric constant 10-1
         10—2 the polarization vector p 10-2
         10-3 polarization charges 10-3
         10-4 the electrostatic equations with dielectrics 10-6
         10-5 fields and forces with dielectrics 10-7
         chapter 11. inside dielectrics
         11-1 molecular dipoles 11-1
         11-2 electronic polarization 11-1
         11-3 polar molecules; orientation polarization 11-3
         11-4 electric fields in cavities of a dielectric 11-5
         11-5 the dielectric constant of liquids; the clausius-
         mossotti equation 11-6
         11-6 solid dielectrics 11-8
         11-7 ferroelectricity; batioa 11-8
         chapter 12. electrostatic analogs
         12-1 the same equations have the same solutions 12-1
         12-2 the flow of heat; a point source near an infinite
         plane boundary 12-2
         12-3 the stretched membrane 12-5
         12-4 the diffusion of neutrons; a uniform spherical
         source in a homogeneous medium 12-6
         12-5 irrotational fluid flow; the flow past a sphere 12-8
         12-6 illumination; the uniform lighting of a plane 12-10
         12-7 the "underlying unity" of nature 12-12
         chapter 13. magnetostatics
         13-1 the magnetic field 13-1
         13-2 electric current; the conservation of charge 13-1
         13-3 the magnetic force on a current 13-2
         13-4 the magnetic field of steady currents;
         ampere's law 13-3
         13-5 the magnetic field of a straight wire and of a
         solenoid; atomic currents 13-5
         13-6 the relativity of magnetic and electric fields 13-6
         13-7 the transformation of currents and charges 13-11
         13-8 superposition; the right-hand rule 13-11
         chapter 14. the magnetic field in various
         situations
         14-1 the vector potential 14-1
         14-2 the vector potential of known currents 14-3
         14-3 a straight wire 14-4
         14-4 a long solenoid 14-5
         14-5 the field of a small loop; the magnetic dipole 14-7
         14-6 the vector potential of a circuit 14-8
         14-7 the law of blot and savart 14-9
         chapter 15. the vector potential
         15-1 the forces on a current loop; energy of
         a dipole 15-1
         15-2 mechanical and electrical energies 15-3
         15-3 the energy of steady currents 15-6
         15-4 b versus a 15-7
         15-5 the vector potential and quantum mechanics 15-8
         15-6 what is true for statics is false for dynamics 15-14
         chapter 16. induced currents
         16-1 motors and generators 16-1
         16-2 transformers and inductances 16-4
         16-3 forces on induced currents 16-5
         16-4 electrical technology 16-8
         chapter 17. the laws of induction
         17-1 the physics of induction 17-1
         17-2 exceptions to the "flux rule" 17-2
         17-3 particle acceleration by an induced electric field;
         the betatron 17-3
         17-4 a paradox 17-5
         17-5 alternating-current generator 17-6
         17-6 mutual inductance 17-9
         17-7 self-inductance 17-11
         17-8 inductance and magnetic energy 17-12
         chapter 18. the maxwell equations
         18-1 maxwell's equations 18-1
         18-2 how the new term works 18-3
         18-3 all of classical physics 18-5
         18-4 a travelling field 18-5
         18-5 the speed of light 18-8
         18-6 solving maxwell's equations; the potentials and the
         wave equation 18-9
         chapter 19. the principle of least action
         a special lecture—almost verbatim 19-1
         a note added after the lecture 19-14
         chapter 20. solutions of maxwell's equations
         in free space
         20-1 waves in free space; plane waves 20-1
         20-2 three-dimensional waves 20-8
         20-3 scientific imagination 20-9
         20-4 spherical waves 20—12
         chapter 21. solutions of maxwell's equations ..
         with currents and charges
         21-1 light and electromagnetic waves 21-1
         21-2 spherical waves from a point source 21-2
         21-3 the general solution of maxwell's equations 21-4
         21-4 the fields of an oscillating dipole 21-5
         21-5 the potentials of a moving charge; the general
         solution of lienard and wiechert 21-9
         21-6 the potentials for a charge moving with constant
         velocity; the lorentz formula 21-12
         chapter 22. ac circuits
         22-1 impedances 22-1
         22-2 generators 22-5
         22-3 networks of ideal elements; kirchhoff's rules 22-7
         22-4 equivalent circuits 22-10
         22-5 energy 22-11
         22-6 a ladder network 22-12
         22-7 filters 22-14
         22-8 other circuit elements 22-16
         chapter 23. cavity resonators
         23-1 real circuit elements 23-1
         23-2 a capacitor at high frequencies 23-2
         23-3 a resonant cavity 23-6
         23-4 cavity modes 23-9
         23-5 cavities and resonant circuits 23-10
         chapter 24. waveguides
         24-1 the transmission line 24-1
         24-2 the rectangular waveguide 24-4
         24-3 the cutoff frequency 24-6
         24-4 the speed of the guided waves 24-7
         24-5 observing guided waves 24-7
         24-6 waveguide plumbing 24-8
         24-7 waveguide modes 24-10
         24-8 another way of looking at the guided waves 24-10
         chapter 25. electrodynamics in relativistic
         notation
         25-1 four-vectors 25-1
         25-2 the scalar product 25-3
         25-3 the four-dimensional gradient 25-6
         25-4 electrodynamics in four-dimensional notation 25-8
         25-5 the four-potential of a moving charge 25-9
         25-6 the invariance of the equations of
         electrodynamics 25-10
         chapter 26. lorentz transformations of the fields
         26-1 the four-potential of a moving charge 26-1
         26-2 the fields of a point charge with a constant
         velocity 26-2
         26-3 relativistic transformation of the fields 26-5
         26-4 the equations of motion in relativistic
         notation 26-11
         chapter 27. field energy and field momentum
         27-1 local conservation 27-1
         27-2 energy conservation and electromagnetism 27-2
         27-3 energy density and energy flow in the
         electromagnetic field 27-3
         27-4 the ambiguity of the field energy 27-6
         27-5 examples of energy flow 27-6
         27-6 field momentum 27-9
         chapter 28. electromagnetic mass
         28-1 the field energy of a point charge 28-1
         28-2 the field momentum of a moving charge 28-2
         28-3 electromagnetic moss 28-3
         28-4 the force of an electron on itself 28-4
         28-5 attempts to modify the maxwell theory 28-6
         28-6 the nuclear force field 28-12
         chapter 29. the motion of charges in electric
         and magnetic fields
         29-1 motion in a uniform electric or magnetic field 29-1
         29-2 momentum analysis 29-1
         29-3 an electrostatic lens 29-2
         29-4 a magnetic lens 29-3
         29-5 the electron microscope 29-3
         29-6 accelerator guide fields 29-4
         29-7 alternating-gradient focusing 29-6
         29-8 motion in crossed electric and magnetic fields 29-8
         chapter 30. the internal geometry of crystals
         30-1 the internal geometry of crystals 30-1
         30-2 chemical bonds in crystals 30-2
         30-3 the growth of crystals 30-3
         30-4 crystal lattices 30-3
         30-5 symmetries in two dimensions 30-4
         30-6 symmetries in three dimensions 30-7
         30-7 the strength of metals 30-8
         30-8 dislocations and crystal growth 30-9
         30-9 the bragg-nye crystal model 30-10
         chapter 31. tensors
         31-1 the tensor of polarizability 31-1
         31-2 transforming the tensor components 31-3
         31-3 the energy ellipsoid 3 i-3
         31-4 other tensors; the tensor of inertia 31-6
         31-5 the cross product 31-8
         31-6 the tensor of stress 31-9
         31-7 tensors of higher rank 31-11
         31-8 the four-tensor of electromagnetic
         momentum 31-12
         chapter 32. refractive index of dense materials
         32-1 polarization of matter 32-1
         32-2 maxwell's equations in a dielectric 32-3
         32-3 waves in a dielectric 32-5
         32-4 the complex index of refraction 32-8
         32-5 the index of a mixture 32-8
         32-6 waves in metals 32-10
         32-7 low-frequency and high-frequency approximations;
         the skin depth and the plasma frequency 32-11
         chapter 33. reflection from surfaces
         33-1 reflection and refraction of light 33-1
         33-2 waves in dense materials 33-2
         33-3 the boundary conditions 33-4
         33-4 the reflected and transmitted waves 33-7
         33-5 reflection from metals 33-11
         33-6 total internal reflection 33-12
         chapter 34. the magnetism of matter
         34-1 diamagnetism and paramagnetism 34-1
         34-2 magnetic moments and angular momentum 34-3
         34-3 the precession of atomic magnets 34-4
         34-4 diamagnetism 34-5
         34-5 larmor's theorem 34-6
         34-6 classical physics gives neither diamagnetism nor
         paramagnetism 34-8
         34-7 angular momentum in quantum mechanics 34-8
         34-8 the magnetic energy of atoms 34-11
         chapter 35. paramagnetism and magnetic resonance
         35-1 quantized magnetic states 35-1
         35-2 the stern-gerlach experiment 35-3
         35-3 the rabi molecular-beam method 35-4
         35-4 the paramagnetism of bulk materials 35-6
         35-5 cooling by adiabatic demagnetization 35-9
         35-6 nuclear magnetic resonance 35-10
         chapter 36. ferromagnetism
         36-1 magnetization currents 36-1
         36-2 the field h'36-5
         36-3 the magnetization curve 36-6
         36-4 iron-core inductances 36-8
         36-5 electromagnets 36-9
         36-6 spontaneous magnetization 36-11
         chapter 37. magnetic materials
         37-1 understanding ferromagnetism 37-1
         37-2 thermodynamic properties 37-4
         37-3 the hysteresis curve 37-5
         37-4 ferromagnetic materials 37-10
         37-5 extraordinary magnetic materials 37-11
         chapter 38. elasticity
         38-1 hooke's law 38-1
         38-2 uniform strains 38-2
         38-3 the torsion bar; shear waves 38-5
         38-4 the bent beam 38-9
         38-5 buckling 38-i1
         chapter 39. elastic materials
         39-1 the tensor of strain 39-1
         39-2 the tensor of elasticity 39-4
         39-3 the motions in an elastic body 39-6
         39-4 nonelastic behavior 39-8
         39-5 calculating the elastic constants 39-10
         chapter 40. the flow of dry water
         40-1 hydrostatics 40-1
         40-2 the equations of motion 40-2
         40-3 steady fiow—bernoulli's theorem 40-6
         40-4 circulation 40-9
         40-5 vortex lines 40-10
         chapter 41. the flow of wet water
         41-1 viscosity 41-1
         41-2 viscous flow 41-4
         41-3 the reynolds number 41-5
         4l-4 flow past a circular cylinder 41-7
         41-5 the limit of zero viscosity 41-9
         41-6 couette flow 41-10
         chapter 42. curven space
         42-1 curved spaces with two dimensions 42-1
         42-2 curvature in three-dimensional space 42-5
         42-3 our space is curved 42-6
         42-4 geometry in space-time 42-7
         42-5 gravity and the principle of equivalence 42-8
         42-6 the speed of clocks in a gravitational field 42-9
         42-7 the curvature of space-time 42-11
         42-8 motion in curved space-time 42-12
         42-9 einstein's theory of gravitation 42-13
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