| PART A. Introduction to vector and tensor calculus |
| Chapter AI. Vectors |
| 1 Definition of a vector |
| 2 Addition and subtraction of vectors |
| 3 "Unit vectors, base vectors, components" |
| 4 The inner or scalar product |
| 5 The outer or vector product |
| 6 Products of three and four vectors |
| 7 Differentiation of vectors with respect to a parameter |
| Chapter AII. Vector fields |
| 8 Definition of a vector field |
| 9 The space derivative of a field quantity. The gradient |
| 10 The strength of a source field and its divergence. Gauss's theorem and Green's theorem |
| 11 The line integral and the curl. Stokes's theorem |
| 12 Calculation of a vector field from its sources and vortices |
| 13 Orthogonal curvillinear coordinates |
| Chapter AIII. Tensors |
| 14 Definition of a tensor. The anti-symmetric tensor |
| 15 The symmetric tensor and its invariants. The deviator |
| PART B. The Electrostatic field |
| Chapter BI. Electric charge and the electrostatic field in vacuum |
| 16 Electric charge |
| 17 The elementary electrical quantum |
| 18 Electric field strength and the electric potential |
| 19 Coulomb's law. The flux of electric force |
| 20 The distribution of electricity on conductors |
| 21 The capacitance of spherical and parallel-plate capacitors |
| 22 The prolate ellipsoid of revolution |
| 23 Induced charges |
| 24 The electric field at a great distance from field-producing charges. The dipole and quadrupole field |
| Chapter BII. Electrostatics of dielectrics |
| 25 The parallel-plate capacitor with dielectric insulation |
| 26 Dielectric polarization |
| 27 The fundamental equations of electrostatics for insulators. The Maxwell displacement vector |
| 28 Point charge opposite a semi-infinite dielectric |
| 29 Dielectric sphere in a uniform field |
| 30 The homogeneously polarized ellipsoid |
| Chapter BIII. Force effects and energy relations in the electrostatic field |
| 31 Systems of point charges in free space |
| 32 Field energy when conductors and insulators are present. Thomson's theorem |
| 33 Thermodynamical considerations of the field energy |
| 34 Force effects in the electrostatic field calculated by means of the field energy; several simple examples |
| 35 General calculation of the force on an insulator in an electric field |
| 36 The Maxwell stresses |
| 37 Electric force effects in homogeneous liquids and gases |
| PART C. Electric current and the magnetic field |
| Chapter CI. The law of the electric current |
| 38 Current strength and currrent density |
| 39 Ohm's law |
| 40 Joule heating |
| 41 Impressed forces. The galvanic chain |
| 42 Inertia effects of electrons in metals |
| Chapter CII. Force effects in the magnetic |
| 43 The magnetic field vectors |
| 44 The force on a current-carrying conductor. The Lorentz force |
| 45 The Faraday law of induction |
| Chapter CIII. Magnetic fields of currents and permanent magnets |
| 46 The magnetic field of steady currents. Oersted's law |
| 47 The ring current as a magnetic dipole |
| 48 Magnetization and magnetic susceptibility |
| Chapter CIV. Electrodynamics of quasi-stationary currents |
| 49 Self-induction and mutual induction |
| 50 Circuit with resistance and self-inductance. The vector diagram |
| 51 "Circuit with resistance, self-inductance and capacitance" |
| 52 The energy theorem for a system of linear currents |
| PART D. The general fundamental equations of the electromagnetic field |
| Chapter DI. Maxwell's theory for stationary media |
| 53 Completing the Maxwell equations |
| 54 The energy theorem in Maxwell's theory. The Poynting vector |
| 55 Magnetic field energy. Forces in the magnetic field |
| 56 The momentum theorem in Maxwell's theory. The momentum density of the radiation field |
| Chapter DII. Electromagnetic waves |
| 57 Electromagnetic waves in a vacuum |
| 58 Plane waves in stationary homogeneous media |
| 59 The reflection of electromagnetic waves at boundary surfaces |
| 60 Current displacement or the skin effect |
| 61 Electromagnetic waves along ideal conductors |
| 62 Waves along wires of finite resistance |
| 63 Waves in hollow conductors |
| Chapter DIII. The electromagnetic field of a given distribution of charge and current |
| 64 The field of uniformly moving charged particle |
| 65 Energy and momentum for a uniformly moving charged particle |
| 66 The electromagnetic potential of an arbitrary distribution of charge and current |
| 67 The Hertz solution for the oscillating dipole |
| 68 The radiation of electromagnetic waves by an emitter |
| 69 The field of an arbitrarily moving point charge |
| Chapter DIV. The field equations in slowly moving non-magnetic media |
| 70 Derivation of the field equations |
| 71 Experimental confirmation of the basic equations |
| 72 Fizeau's investigation |
| 73 The Michelson experiment |
| 74 Search for an explanation of the negative result of the Michaelson experiment |
| PART E. The theory of relativity |
| Chapter EI. The physical basis of relativity theory and its mathematical aids |
| 75 Revision of the space-time concept |
| 76 The Lorentz transformation |
| 77 Consequences of the Lorentz transformation |
| 78 Programme of the special theory of relativity |
| 79 The general Lorentz group |
| 80 Four-vectors and four-tensors |
| Chapter EII. The relativistic electrodynamics of empty space |
| 81 The field equations |
| 82 The force density |
| 83 The energy-momentum tensor of the electromagnetic |
| 84 The plan light-wave |
| 85 The radiation field of a moving electron |
| Chapter EIII. The relativistic electrodynamics of material bodies |
| 86 The field equation |
| 87 The moments tensor |
| 88 Unipolar induction |
| Chapter EIV. Relativistic mechanics |
| 89 The mechanics of mass points |
| 90 The inertia of energy |
| 91 Mechanical stresses |
| PART F. Exercise problems and solutions |
| Chapter FI. Exercises |
| A. Vector and tensor calculus |
| B. The electrostatic field |
| C. The electric current and the magnetic field |
| D. The fundamental equations of the electromagnetic field |
| E. Relativity theory |
| Chapter FII. Solutions |
| A. Vector and tensor calculus |
| B. The electrostatic field |
| C. The electric current and the magnetic field |
| D. The fundamental equations of the electromagnetic field |
| E. Relativity theory |
| PART G. List of formulae |
| Chapter GI. Vector and tensor calculus |
| 1 Vector algebra |
| 2 Vector analysis |
| 3 Tensor algebra |
| Chapter GII. Electrodynamics |
| 1 The field equations and the constitutive equations |
| 2 The material constants |
| 3 Energy and force expressions |
| 4 Wave propagation |
| 5 Electrotechnical concepts |
| 6 Conversion table from MKSA units to the Gaussian system |
| Chapter GIII. Relativity theory |
| Index |