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Electromagnetism is one of the four fundamental forces in nature, and underlies almost everything we experience in our daily lives, whether we realise it or not. The complete theory was first written down in the late 19th century, and remains an essential part of a scientific education. The mathematics behind the theory, however, can be intimidatingly complex. Furthermore, it is not always clear to beginners why the theory is either useful or interesting, nor how it relates to modern research in theoretical physics. The aim of this book is to guide students towards a detailed understanding of the full theory of electromagnetism, including its practical applications. Later chapters introduce more modern formulations of the theory than are found in traditional undergraduate courses, thus bridging the gap between a first course in electromagnetism, and the advanced concepts needed for further study in physics. The final chapter reviews exciting current research stating that possible theories of (quantum) gravity may be much more closely related to electromagnetism than previously thought. Throughout the book, an informal conversational style is used to demystify intimidating concepts. Relevant mathematical ideas are introduced in a self-contained manner, and exercises are provided with full solutions to aid understanding. This book is essential reading for anyone undertaking a physics degree, but will also be of interest to engineers and chemists. Request Inspection Copy Sample Chapter(s) Preface Chapter 1: Why Electromagnetism? Contents: Why Electromagnetism? Vector Algebra Introducing Electricity A First Look at Circuits Introducing Magnetism A Second Look at Circuits Maxwell's Equations Relativity and Maxwell's Equations Maxwell's Equations from Symmetry The Double Copy: From Electromagnetism to Gravity Appendices: Line and Surface Integrals The Dirac Equation Solutions to Exercises Readership: Beginning and advanced undergraduates in Physics. It will also be useful for graduate students in theoretical physics, and to researchers in theoretical or applied physics.
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【簡介】 Electromagnetism can be a difficult subject to grasp and to teach. Much of what we take for granted in modern life is enabled by electromagnetic effects, but it isn’t always easy to understand the impact of electromagnetism compared to other areas of engineering, such as mechanics, which are more tangibly observed and felt. Although electromagnetism is a crucial and important branch of physics with elegant mathematics, many students can find the study of electromagnetism inaccessible. It is crucial for students of electrical and electronic engineering and physics to have a strong understanding of electromagnetism and how it impacts communications, power generation and transmission, semiconductor devices, motors, and more. Electromagnetism for Engineers aims to develop a student’s understanding of electromagnetism in the context of real effects and how they apply to such applications, whilst maintaining the sophistication of the mathematics that can be used to give deeper insight. It begins by describing the fundamentals of electromagnetism before a more detailed discussion of the basic concepts developed for specific application areas. It then considers the application of electromagnetism to transmission lines, antennas, and waveguides. 【目錄】 Part I Fundamentals of Electricity and Magnetism 1 Charge and Electric Fields 2 Electric Fields in Materials 3 Currents and Magnetic Fields 4 Magnetic Fields in Materials 5 The Maxwell Equations of Elecromagnetism Part II Applications of Electromagnetism 6 Transmission Lines 7 Electromagnetic Waves in Dielectric Media 8 Antennas 9 Electromagnetic Waves at Dielectric Interfaces 10 Electromagnetic Waves in Conducting Media 11 Waveguides 12 Three-Phase Electrical Power
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ADVANCED CLASSICAL ELECTROMAGNETISM 2022 (H) ISBN: 9780691220390 類別: 物理學Physics 出版社: PRINCETON UNIVERSITY PRESS 作者: WALD 年份: 2022 裝訂別: 精裝 頁數: 248頁 Electromagnetism is one of the pillars of modern physics. Robert Wald provides graduate students with a clear, concise, and mathematically precise introduction to the subject, covering all the core topics while bringing the teaching of electromagnetism up to date with our modern understanding of the subject. Electromagnetism is usually taught in a quasi-historical fashion, starting from concepts formulated in the eighteenth and nineteenth centuries, but this tends to promote outdated ways of thinking about the theory. Wald begins with Maxwell’s equations—the foundation of electromagnetism—together with the formulas for the energy density, momentum density, and stress tensor of the electromagnetic field. He then proceeds through all the major topics in classical electromagnetism, such as electrostatics, dielectrics, magnetostatics, electrodynamics and radiation, diffraction, and special relativity. The last two chapters discuss electromagnetism as a gauge theory and the notion of a point charge—topics not normally treated in electromagnetism texts. > Completely rethinks how to teach electromagnetism to first-year graduate students > Presents electromagnetism from a modern, mathematically precise perspective, formulating key conceptual ideas and results clearly and concisely > Written by a world-class physicist and proven in the classroom > Covers all the subjects found in standard electromagnetism textbooks as well as additional topics such as the derivation of the initial value formulation for Maxwell’s equations > Also ideal as a supplementary text or for self-study Table Of Contents Preface CHAPTER 1 Introduction: Electromagnetic Theory without Myths 1.1 The Fundamental Electromagnetic Variables Are the Potentials, Not the Field Strengths 1.2 Electromagnetic Energy, Momentum, and Stress Are an Integral Part of the Theory 1.3 Electromagnetic Fields Should Not Be Viewed as Being Produced by Charged Matter 1.4 At a Fundamental Level, Classical Charged Matter Must Be Viewed as Continuous Rather Than Point-Like CHAPTER 2 Electrostatics 2.1 Uniqueness of Solutions in Electrostatics 2.2 Point Charges and Green’s Functions 2.3 Interaction Energy and Force 2.4 Multipole Expansion of the Green’s Function 2.5 Conducting Cavities; Dirichlet and Neumann Green’s Functions Problems CHAPTER 3 Dielectrics 3.1 Macroscopic Description of Dielectrics 3.2 Force and Interaction Energy Problems CHAPTER 4 Magnetostatics 4.1 The Equations of Magnetostatics 4.2 Multipole Expansion 4.3 Interaction Energy and Force 4.4 Magnetic Materials Problems CHAPTER 5 Electrodynamics 5.1 The Equations of Electrodynamics 5.2 Retarded Green’s Function 5.3 Multipole Expansion 5.3.1 Cartesian Multipole Expansion of the Radiation Field for a Nonrelativistic Source 5.3.2 General Multipole Expansion for a Relativistic Source ...