Table of contents

Mastering Maxwell's Equations

From field concepts to professional electromagnetic modeling and applications

Read each section in order. Every title can be opened as a TheoryTrace document.

• Cover
• Copyright
• How to read this book
• Introduction
• Chapter 1: The Electromagnetic Worldview
• Chapter 2: Mathematical Tools for Fields
• Chapter 3: Integral Theorems and Physical Meaning
• Chapter 4: Charge, Current, and Conservation
• Chapter 5: Electrostatics and Coulomb's Law
• Chapter 6: Solving Electrostatic Boundary-Value Problems
• Chapter 7: Magnetostatics and Steady Currents
• Chapter 8: Magnetic Materials and Magnetization
• Chapter 9: Electric Fields in Matter
• Chapter 10: Faraday's Law and Electromagnetic Induction
• Chapter 11: Ampere-Maxwell Law and Displacement Current
• Chapter 12: Maxwell's Equations in Integral and Differential Form
• Chapter 13: Boundary Conditions and Interface Physics
• Chapter 14: Electromagnetic Energy, Momentum, and Power Flow
• Chapter 15: Electromagnetic Waves in Vacuum
• Chapter 16: Waves in Materials
• Chapter 17: Reflection, Refraction, and Transmission
• Chapter 18: Potentials, Gauge Freedom, and Retarded Solutions
• Chapter 19: Radiation from Accelerating Charges and Antennas
• Chapter 20: Transmission Lines and Guided Waves
• Chapter 21: Electromagnetism and Special Relativity
• Chapter 22: Numerical Electromagnetics and Professional Modeling
• Chapter 23: Applications Across Physics and Engineering
• Chapter 24: Problem-Solving Mastery with Maxwell's Equations
• Conclusion