作者简介 Carl S. Helrich (C. S. 赫尔里克,美国)是美国Goshen学院教授和博士生导师,是理论物理领域知名学者
目录 1 Origins and Concepts 1.1 Introduction 1.2 Magnetism 1.3 Gravitation 1.4 Faraday, Thomson, and Maxwell 1.5 Gravitation a Vector Field 1.6 Charges and Electric Fields 1.7 Priestlys Speculation 1.8 Voltaic Cell 1.9 Currents and Magnetic Fields 1.9.1 Oersted 1.9.2 Ampere 1.9.3 Electrical current 1.10 Induced Electric Field 1.11 The Mathematical Theory 1.11.1 The field equations 1.11.2 Maxwell 1.12 Experimental Evidence 1.12.1 Waves in the laboratory 1.12.2 Wave energy and momentum 1.13 Michelson and Morley Experiment 1.14 Relativity 1.15 Summary Questions 2 Mathematical Background 2.1 Introduction 2.2 Vectors 2.2.1 The Vector Space 2.2.2 Representation 2.2.3 Scalar Product 2.2.4 Vector Product 2.3 Multivariate Functions 2.3.1 Differentials 2.3.2 Cylindrical Coordinates 2.3.3 Spherical Coordinates 2.4 Analytic Functions 2.4.1 Taylor Series 2.4.2 Analyticity 2.5 Vector Calculus 2.5.1 Field Quantities 2.5.2 The Gradient 2.5.3 The Divergence 2.5.4 The Curl 2.5.5 The Laplacian Operator 2.6 Differential Equations 2.6.1 Helmholtz Theorem 2.6.2 The Del Operator 2.6.3 Dirac Delta Function 2.7 Summary Exercises 3 Electrostatics 3.1 Introduction 3.2 Coulombs Law 3.2.1 Coulombs Experiment 3.2.2 Units 3.3 Superposition 3.4 Distributions ofCharges 3.4.1 Distribution of Point Charges 3.4.2 Volume Charge Density 3.4.3 Surface Charge Density 3.5 The Field Concept 3.6 Divergence and Curl of E 3.7 Integral Electrostatic Field Equations 3.7.1 Gauss Theorem 3.7.2 Stokes Theorem 3.8 Summary Exercises 4 The Scalar Potential 4.1 Introduction 4.2 Potential Energy 4.3 Potential Surfaces 4.4 Poissons Equation 4.5 Multipole Expansion 4.6 Energy Storage 4.6.1 Electrostatic Energy Density 4.6.2 Energy of a Set of Conductors …… 5 Magnetostatics 6 Applications of Magnetostatics 7 Particle Motion 8 Greens Functions 9 Laplaces Equation 10 Time Dependence 11 Electromagnetic Waves 12 Energy and Momentum 13 Special Relativity 14 Radiation 15 Fields in Matter 16 Waves in Dispersive Media Appendix References Index
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