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| Genre/Form: | Electronic books |
|---|---|
| Additional Physical Format: | Print version: DAVIDSON, PETER. INTRODUCTION TO ELECTRODYNAMICS. [Place of publication not identified], OXFORD UNIV Press, 2019 (OCoLC)1054831731 |
| Material Type: | Document, Internet resource |
| Document Type: | Internet Resource, Computer File |
| All Authors / Contributors: |
PETER DAVIDSON |
| ISBN: | 9780192519108 0192519107 |
| OCLC Number: | 1101625584 |
| Awards: | Winner of Winner of the 2020 Prose Award for Excellence in Textbook/Physical Sciences & Mathematics by the Association of American Publishers. |
| Description: | 1 online resource (1 volume) |
| Contents: | Cover; An Introduction to Electrodynamics; Copyright; Dedication; PREFACE; CONTENTS; COMMONLY USED SYMBOLS; Geometry; Polar Coordinates; Electrical Circuits; Physical and Material Constants; Fields; Charge and Current; Energy and Force; Velocities and Waves; Epigraph; PART I Mathematical Preliminaries; 1 Vector Calculus; 1.1 Vectors and Vector Algebra; 1.1.1 Elementary Definitions and Properties of Vectors; 1.1.2 Vectors in Cartesian Coordinate Systems; 1.1.3 Mirror Reflections: Polar Versus Axial Vectors Revisited; 1.1.4 From Point Vectors to Vector Fields; 1.2 Line and Surface Integrals 1.2.1 Line Integrals, Conservative Fields and the Scalar Potential1.2.2 Surface Integrals and Solenoidal Fields; 1.3 The Gradient, Divergence and Curl; 1.3.1 The Gradient and the Scalar Potential Revisited; 1.3.2 The Divergence, Gauss' Theorem and the Laplacian; 1.3.3 The Curl; 1.4 Stokes' Theorem and Conservative Fields Revisited; 1.5 Solenoidal Fields Revisited: The Vector Potential and Helmholtz's Decomposition; 1.6 An Aside: The Troubled History of Vector Calculus; Exercises; References; 2 The Physical Signatures of Three Important Partial Differential Equations 2.1 Three Important Second-Order Partial Differential Equations2.1.1 The Classification of Linear Second-Order Partial Differential Equations; 2.1.2 A Key Property of the Diffusion Equation: The Idea of Diffusion Length; 2.1.3 A Key Property of the Wave Equation: d'Alembert's Solution; 2.1.4 A Key Property of Poisson's Equation: Green's Inversion Formula; 2.2 The Diffusion Equation Revisited; 2.2.1 More on Self-Similar Solutions; 2.2.2 The Diffusion of Oscillatory Fields; 2.2.3 Spherically Symmetric Diffusion, Kelvin and the Core of the Earth; 2.3 Waves and the Wave Equation Revisited 2.3.1 From Waves on a String to Alfvén Waves in a Plasma2.3.2 Spherically Symmetric Solutions of the Wave Equation; 2.3.3 SomeWave-Bearing Systems Not Governed by the Wave Equation; 2.3.4 Dispersive Versus Non-Dispersive Waves and d'Alembert Explained; 2.3.5 The Concept of Group Velocity for Dispersive Waves; 2.4 More on Inverting Poisson's Equation; 2.4.1 An Example of the Use of Green's Function; 2.4.2 A Glimpse at Gauss' Law of Electrostatics; 2.4.3 A Glimpse at the Biot-Savart Law of Magnetostatics; 2.4.4 Information Propagation and Hidden Physics 2.5 Inverting the Inhomogeneous Wave Equation: Retarded Potentials2.5.1 Retarded Potentials in Acoustics; 2.5.2 Retarded Potentials and Moving Sources; Exercises; References; PART II The Fundamentals of Electrodynamics; 3 A Bird's Eye View of Electromagnetism; 3.1 The Lorentz Force, the Electric Field and Charge Conservation; 3.2 Ampère's Law, the Biot-Savart Law and the Ampère-Maxwell Equation; 3.3 Faraday's Law in Differential and Integral Form; 3.4 The Vector Potential; 3.5 Maxwell's Equations, Electromagnetic Energy and the Poynting Vector |
Abstract:
A contemporary textbook in the field of electromagnetism. Not only is it comprehensive in its coverage of undergraduate material on electrodynamics, but the textboook includes some advanced topics in applied physics, such as fusions plasmas, stellar magnetism and planetary dynamos.
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