Classical Electromagnetism In A Nutshell Anupam Garg by Anupam Garg 9780691130187, 0691130183 instant download after payment.

Preface xv List of symbols xxi Suggestions for using this book xxxi Chapter 1 Introduction 1 1 The field concept 1 2 The equations of electrodynamics 2 3 A lightspeed survey of electromagnetic phenomena 7 4 SI versus Gaussian 10 Chapter 2 Review of mathematical concepts 18 5 Vector algebra 18 6 Derivatives of vector fields 25 7 Integration of vector fields 30 8 The theorems of Stokes and Gauss 32 9 Fourier transforms, delta functions, and distributions 37 10 Rotational transformations of vectors and tensors 45 11 Orthogonal curvilinear coordinates 51 Chapter 3 Electrostatics in vacuum 55 12 Coulomb's law 55 13 The electrostatic potential 57 14 Electrostatic energy 58 15 Differential form of Coulomb's law 63 16 Uniqueness theorem of electrostatics 65 17 Solving Poisson's equation: a few examples 68 18 Energy in the electric field 71 19 The multipole expansion 73 20 Charge distributions in external fields 80 Chapter 4 Magnetostatics in vacuum 82 21 Sources of magnetic field 82 22 The law of Biot and Savart 89 23 Differential equations of magnetostatics; Ampere's law 93 24 The vector potential 101 25 Gauge invariance 105 26 ? B and ??B for a point dipole 108 27 Magnetic multipoles 112 Chapter 5 Induced electromagnetic fields 114 28 Induction 114 29 Energy in the magnetic field--Feynman's argument 117 30 Energy in the magnetic field--standard argument 120 31 Inductance 121 32 The Ampere-Maxwell law 125 33 Potentials for time-dependent fields 128 Chapter 6 Symmetries and conservation laws 132 34 Discrete symmetries of the laws of electromagnetism 132 35 Energy flow and the Poynting vector 137 36 Momentum conservation 140 37 Angular momentum conservation* 144 38 Relativity at low speeds 148 39 Electromagnetic mass* 150 Chapter 7 Electromagnetic waves 152 40 The wave equation for E and B 152 41 Plane electromagnetic waves 154 42 Monochromatic plane waves and polarization 156 43 Nonplane monochromatic waves; geometrical optics* 160 44 Electromagnetic fields in a laser beam*