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 Priestly's 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
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