In the last chapter, the presentation of Electromagnetism as a Quantum Gauge Theory demonstrates that EM is a manifestation of the general principle of Local Gauge Invariance in Quantum Mechanics. Then it is shown how the principles of Special Relativity require the unification of Electricity and Magnetism that had been achieved earlier by Maxwell, and extends this to the unification of Space and Time. This continues through the laws of Gauss and Ampere, to the unifying partial differential equations of Maxwell, and the ensuing electromagnetic radiation. At each stage in the development it demonstrates how the subject could be more fundamentally defined. It starts with simple expositions of Coulomb’s law and the magnetic law of Biot-Savart. The book tells the story of EM, from its 19th-century beginnings to its present place, somewhere in the 21st century.
Because the text starts each topic at a fundamental level and works up, it could also be used by a good student with little prior knowledge of EM, but enough background in mathematics to feel comfortable.
This text is designed for first-year graduate students who generally will have had at least one, and probably two, earlier undergraduate courses in Electromagnetism (EM). I hope it will prove to be helpful for students, and will also be a good textbook from which professors can teach. It could also serve as supplementary reading for graduate students to help them achieve a better understanding of the subject matter, or for advanced undergraduate students who want to go into more detail than is generally covered in the undergraduate course. My intention has been to write a comprehensive textbook for the first-year electromagnetism course. This second edition includes a number of improvements to the first edition in clarifying and extending a number of the derivations, but it serves the same purpose of providing a good learning experience for students. Newly revised by author Jerrold Franklin, the book includes the new section Answers to Odd-Numbered Problems. Topics include methods of solution in electrostatics, Green's functions, electrostatics in matter, magnetism and ferromagnetism, electromagnetic waves in matter, special relativity, and the electrodynamics of moving bodies.
Each stage of the theory is carefully developed in a clear and systematic approach that integrates mathematics and physics so that readers are introduced to the theory and learn the mathematical skills in context of real physics applications. Progressing from the basic laws of electricity and magnetism and their unification by Maxwell and Einstein, the treatment culminates in a survey of the role of classical electromagnetism in a quantum world. Suitable for first-year graduate students in physics who have taken an undergraduate course in electromagnetism, it focuses on core concepts and related aspects of math and physics. This text advances from the basic laws of electricity and magnetism to classical electromagnetism in a quantum world.
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