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电磁理论的数学方法(影印版)

电磁理论的数学方法(影印版)

  • 字数: 230
  • 出版社: 高等教育
  • 作者: (美)库尔特·O.弗里德里希斯|责编:李鹏
  • 商品条码: 9787040569810
  • 版次: 1
  • 开本: 16开
  • 页数: 145
  • 出版年份: 2022
  • 印次: 1
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内容简介
本书为经典电磁理论和 波传播提供了数学上精确但 直观的介绍,同时简要介绍 了狭义相对论。作者以独特 的现代叙述风格,成功地向 读者传达了方程式的物理直 觉及其在19世纪的基础,并 着重强调了守恒定律。本书 具有以下引人注目的特色: (a)给出电磁波与物质相 互作用的严格数学推导,( b)清晰易懂地解释了如何 用变分原理解决静电学和静 磁学中的问题,(c)深入 讨论了电荷守恒的核心重要 性。具有高等微积分、线性 代数、力学和电磁学背景的 数学和物理专业高年级本科 生、研究生,以及对电磁学 感兴趣的数学研究人员均适 合阅读本书。
目录
Foreword Introduction Chapter 1. Preliminaries 1.1. Notions of Vector Analysis 1.2. Notions of Mechanics Chapter 2. Electrostatics 2.1. The Electric Field 2.2. Fields Generated by Lines, Surfaces, and Space Regions 2.3. Differential Laws of Electrostatics 2.4. Dielectric Media 2.5. Conductors 2.6. Boundary Problems 2.7. Potential Energy 2.8. Two-Dimensional Problems of Electrostatics 2.9. The Electric Field Outside a Cylinder Chapter 3. Currents and Ohm's Law 3.1. Currents 3.2. Resistive Conductors. Ohm's Law Chapter 4. Magnetostatics Chapter 5. Electromagnetic Fields Changing in Time 5.1. The Basic Laws of Electromagnetism 5.2. Magnetic Inductions 5.3. Pre-Maxwellian Magnetic Induction 5.4. Inductance 5.5. Special Induction Loops Chapter 6. Transmission Lines. Method of the Laplace Transformation 6.1. Transmission Lines 6.2. Undistorted Transmission 6.3. The Method of Laplace Transformation 6.4. Special Transmission Problems 6.5. Extensions of the Method of Laplace Transformations 6.6. Heaviside Calculus Chapter 7. Electromagnetodynamics of Moving Bodiesand the Principle of Relativity 7.1. Extended Magnetic Induction 7.2. Maxwell's Equations with Reference to a Moving Coordinate System 7.3. Maxwell's Equations in Covariant Form 7.4. The Principle of Relativity Chapter 8. Electromagnetic Wave Propagation 8.1. Propagation with Finite Speed 8.2. Initial Value Problems 8.3. Huygens' Principle 8.4. Electromagnetic Potentials 8.5. The Radiation Problem Chapter 9. The Scattering Problem 9.1. Bundles and Packets of Plane Waves 9.2. Scattering Induced by a Conductor 9.3. Scattering of Electromagnetic Waves References

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